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Finding the Third Proportional to 199,864.13 and 307,515.38

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Solution

The third proportional to 199,864.13 and 307,515.38 is: 473,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,864.13 : 307,515.38 = 307,515.38 : x
  2. Step 2: Convert to fraction form
    199,864.13/307,515.38 = 307,515.38/x
  3. Step 3: Cross multiply
    199,864.13x = 307,515.38 × 307,515.38
  4. Step 4: Simplify right side
    199,864.13x = 94,565,705,861.39
  5. Step 5: Solve for x
    x = 94,565,705,861.39/199,864.13
  6. Step 6: Final answer
    x = 473,149.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.