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Finding the Third Proportional to 113,212.69 and 242,281.13

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Solution

The third proportional to 113,212.69 and 242,281.13 is: 518,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,212.69 : 242,281.13 = 242,281.13 : x
  2. Step 2: Convert to fraction form
    113,212.69/242,281.13 = 242,281.13/x
  3. Step 3: Cross multiply
    113,212.69x = 242,281.13 × 242,281.13
  4. Step 4: Simplify right side
    113,212.69x = 58,700,143,531.27
  5. Step 5: Solve for x
    x = 58,700,143,531.27/113,212.69
  6. Step 6: Final answer
    x = 518,494.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.