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Finding the Third Proportional to 147,793 and 316,586

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Solution

The third proportional to 147,793 and 316,586 is: 678,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,793 : 316,586 = 316,586 : x
  2. Step 2: Convert to fraction form
    147,793/316,586 = 316,586/x
  3. Step 3: Cross multiply
    147,793x = 316,586 × 316,586
  4. Step 4: Simplify right side
    147,793x = 100,226,695,396
  5. Step 5: Solve for x
    x = 100,226,695,396/147,793
  6. Step 6: Final answer
    x = 678,155.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.