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Finding the Third Proportional to 156,473 and 337,887

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Solution

The third proportional to 156,473 and 337,887 is: 729,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,473 : 337,887 = 337,887 : x
  2. Step 2: Convert to fraction form
    156,473/337,887 = 337,887/x
  3. Step 3: Cross multiply
    156,473x = 337,887 × 337,887
  4. Step 4: Simplify right side
    156,473x = 114,167,624,769
  5. Step 5: Solve for x
    x = 114,167,624,769/156,473
  6. Step 6: Final answer
    x = 729,631.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.