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Finding the Third Proportional to 112,276.13 and 242,352

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Solution

The third proportional to 112,276.13 and 242,352 is: 523,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,276.13 : 242,352 = 242,352 : x
  2. Step 2: Convert to fraction form
    112,276.13/242,352 = 242,352/x
  3. Step 3: Cross multiply
    112,276.13x = 242,352 × 242,352
  4. Step 4: Simplify right side
    112,276.13x = 58,734,491,904
  5. Step 5: Solve for x
    x = 58,734,491,904/112,276.13
  6. Step 6: Final answer
    x = 523,125.39

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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.