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Finding the Third Proportional to 156,038 and 335,776

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Solution

The third proportional to 156,038 and 335,776 is: 722,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,038 : 335,776 = 335,776 : x
  2. Step 2: Convert to fraction form
    156,038/335,776 = 335,776/x
  3. Step 3: Cross multiply
    156,038x = 335,776 × 335,776
  4. Step 4: Simplify right side
    156,038x = 112,745,522,176
  5. Step 5: Solve for x
    x = 112,745,522,176/156,038
  6. Step 6: Final answer
    x = 722,551.70

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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.