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Finding the Third Proportional to 199,539 and 293,473.13

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Solution

The third proportional to 199,539 and 293,473.13 is: 431,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,539 : 293,473.13 = 293,473.13 : x
  2. Step 2: Convert to fraction form
    199,539/293,473.13 = 293,473.13/x
  3. Step 3: Cross multiply
    199,539x = 293,473.13 × 293,473.13
  4. Step 4: Simplify right side
    199,539x = 86,126,475,097.27
  5. Step 5: Solve for x
    x = 86,126,475,097.27/199,539
  6. Step 6: Final answer
    x = 431,627.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.