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Finding the Third Proportional to 186,930.28 and 450,673.88

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Solution

The third proportional to 186,930.28 and 450,673.88 is: 1,086,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,930.28 : 450,673.88 = 450,673.88 : x
  2. Step 2: Convert to fraction form
    186,930.28/450,673.88 = 450,673.88/x
  3. Step 3: Cross multiply
    186,930.28x = 450,673.88 × 450,673.88
  4. Step 4: Simplify right side
    186,930.28x = 203,106,941,607.52
  5. Step 5: Solve for x
    x = 203,106,941,607.52/186,930.28
  6. Step 6: Final answer
    x = 1,086,538.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.