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Finding the Third Proportional to 149,402 and 318,772

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Solution

The third proportional to 149,402 and 318,772 is: 680,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,402 : 318,772 = 318,772 : x
  2. Step 2: Convert to fraction form
    149,402/318,772 = 318,772/x
  3. Step 3: Cross multiply
    149,402x = 318,772 × 318,772
  4. Step 4: Simplify right side
    149,402x = 101,615,587,984
  5. Step 5: Solve for x
    x = 101,615,587,984/149,402
  6. Step 6: Final answer
    x = 680,148.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.