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Finding the Third Proportional to 147,535 and 316,565

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Solution

The third proportional to 147,535 and 316,565 is: 679,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,535 : 316,565 = 316,565 : x
  2. Step 2: Convert to fraction form
    147,535/316,565 = 316,565/x
  3. Step 3: Cross multiply
    147,535x = 316,565 × 316,565
  4. Step 4: Simplify right side
    147,535x = 100,213,399,225
  5. Step 5: Solve for x
    x = 100,213,399,225/147,535
  6. Step 6: Final answer
    x = 679,251.70

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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.