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Finding the Third Proportional to 243,863.25 and 375,123.75

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Solution

The third proportional to 243,863.25 and 375,123.75 is: 577,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,863.25 : 375,123.75 = 375,123.75 : x
  2. Step 2: Convert to fraction form
    243,863.25/375,123.75 = 375,123.75/x
  3. Step 3: Cross multiply
    243,863.25x = 375,123.75 × 375,123.75
  4. Step 4: Simplify right side
    243,863.25x = 140,717,827,814.06
  5. Step 5: Solve for x
    x = 140,717,827,814.06/243,863.25
  6. Step 6: Final answer
    x = 577,035.81

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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.