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Finding the Third Proportional to 107,366.25 and 242,569.88

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Solution

The third proportional to 107,366.25 and 242,569.88 is: 548,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,366.25 : 242,569.88 = 242,569.88 : x
  2. Step 2: Convert to fraction form
    107,366.25/242,569.88 = 242,569.88/x
  3. Step 3: Cross multiply
    107,366.25x = 242,569.88 × 242,569.88
  4. Step 4: Simplify right side
    107,366.25x = 58,840,144,257.52
  5. Step 5: Solve for x
    x = 58,840,144,257.52/107,366.25
  6. Step 6: Final answer
    x = 548,032.03

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.