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Finding the Third Proportional to 186,948 and 294,030

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Solution

The third proportional to 186,948 and 294,030 is: 462,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,948 : 294,030 = 294,030 : x
  2. Step 2: Convert to fraction form
    186,948/294,030 = 294,030/x
  3. Step 3: Cross multiply
    186,948x = 294,030 × 294,030
  4. Step 4: Simplify right side
    186,948x = 86,453,640,900
  5. Step 5: Solve for x
    x = 86,453,640,900/186,948
  6. Step 6: Final answer
    x = 462,447.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.