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Finding the Third Proportional to 152,940 and 316,632

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Solution

The third proportional to 152,940 and 316,632 is: 655,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,940 : 316,632 = 316,632 : x
  2. Step 2: Convert to fraction form
    152,940/316,632 = 316,632/x
  3. Step 3: Cross multiply
    152,940x = 316,632 × 316,632
  4. Step 4: Simplify right side
    152,940x = 100,255,823,424
  5. Step 5: Solve for x
    x = 100,255,823,424/152,940
  6. Step 6: Final answer
    x = 655,523.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.