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Finding the Third Proportional to 186,012 and 402,930

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Solution

The third proportional to 186,012 and 402,930 is: 872,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,012 : 402,930 = 402,930 : x
  2. Step 2: Convert to fraction form
    186,012/402,930 = 402,930/x
  3. Step 3: Cross multiply
    186,012x = 402,930 × 402,930
  4. Step 4: Simplify right side
    186,012x = 162,352,584,900
  5. Step 5: Solve for x
    x = 162,352,584,900/186,012
  6. Step 6: Final answer
    x = 872,807.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.