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Finding the Third Proportional to 112,232.81 and 242,269.88

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Solution

The third proportional to 112,232.81 and 242,269.88 is: 522,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,232.81 : 242,269.88 = 242,269.88 : x
  2. Step 2: Convert to fraction form
    112,232.81/242,269.88 = 242,269.88/x
  3. Step 3: Cross multiply
    112,232.81x = 242,269.88 × 242,269.88
  4. Step 4: Simplify right side
    112,232.81x = 58,694,692,332.52
  5. Step 5: Solve for x
    x = 58,694,692,332.52/112,232.81
  6. Step 6: Final answer
    x = 522,972.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.