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Finding the Third Proportional to 147,552 and 316,606

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Solution

The third proportional to 147,552 and 316,606 is: 679,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,552 : 316,606 = 316,606 : x
  2. Step 2: Convert to fraction form
    147,552/316,606 = 316,606/x
  3. Step 3: Cross multiply
    147,552x = 316,606 × 316,606
  4. Step 4: Simplify right side
    147,552x = 100,239,359,236
  5. Step 5: Solve for x
    x = 100,239,359,236/147,552
  6. Step 6: Final answer
    x = 679,349.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.