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Finding the Third Proportional to 156,502.13 and 335,147.63

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Solution

The third proportional to 156,502.13 and 335,147.63 is: 717,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,502.13 : 335,147.63 = 335,147.63 : x
  2. Step 2: Convert to fraction form
    156,502.13/335,147.63 = 335,147.63/x
  3. Step 3: Cross multiply
    156,502.13x = 335,147.63 × 335,147.63
  4. Step 4: Simplify right side
    156,502.13x = 112,323,930,543.14
  5. Step 5: Solve for x
    x = 112,323,930,543.14/156,502.13
  6. Step 6: Final answer
    x = 717,715.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.