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Finding the Third Proportional to 156,006 and 337,770

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Solution

The third proportional to 156,006 and 337,770 is: 731,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,006 : 337,770 = 337,770 : x
  2. Step 2: Convert to fraction form
    156,006/337,770 = 337,770/x
  3. Step 3: Cross multiply
    156,006x = 337,770 × 337,770
  4. Step 4: Simplify right side
    156,006x = 114,088,572,900
  5. Step 5: Solve for x
    x = 114,088,572,900/156,006
  6. Step 6: Final answer
    x = 731,308.88

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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.