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Finding the Third Proportional to 141,807.38 and 219,548.81

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Solution

The third proportional to 141,807.38 and 219,548.81 is: 339,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,807.38 : 219,548.81 = 219,548.81 : x
  2. Step 2: Convert to fraction form
    141,807.38/219,548.81 = 219,548.81/x
  3. Step 3: Cross multiply
    141,807.38x = 219,548.81 × 219,548.81
  4. Step 4: Simplify right side
    141,807.38x = 48,201,681,070.16
  5. Step 5: Solve for x
    x = 48,201,681,070.16/141,807.38
  6. Step 6: Final answer
    x = 339,909.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.