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Finding the Third Proportional to 177,946 and 386,948

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Solution

The third proportional to 177,946 and 386,948 is: 841,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,946 : 386,948 = 386,948 : x
  2. Step 2: Convert to fraction form
    177,946/386,948 = 386,948/x
  3. Step 3: Cross multiply
    177,946x = 386,948 × 386,948
  4. Step 4: Simplify right side
    177,946x = 149,728,754,704
  5. Step 5: Solve for x
    x = 149,728,754,704/177,946
  6. Step 6: Final answer
    x = 841,428.04

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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.