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Finding the Third Proportional to 112,230.56 and 242,265.94

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Solution

The third proportional to 112,230.56 and 242,265.94 is: 522,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,230.56 : 242,265.94 = 242,265.94 : x
  2. Step 2: Convert to fraction form
    112,230.56/242,265.94 = 242,265.94/x
  3. Step 3: Cross multiply
    112,230.56x = 242,265.94 × 242,265.94
  4. Step 4: Simplify right side
    112,230.56x = 58,692,784,472.75
  5. Step 5: Solve for x
    x = 58,692,784,472.75/112,230.56
  6. Step 6: Final answer
    x = 522,966.14

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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.