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Finding the Third Proportional to 112,552 and 240,169

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Solution

The third proportional to 112,552 and 240,169 is: 512,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,552 : 240,169 = 240,169 : x
  2. Step 2: Convert to fraction form
    112,552/240,169 = 240,169/x
  3. Step 3: Cross multiply
    112,552x = 240,169 × 240,169
  4. Step 4: Simplify right side
    112,552x = 57,681,148,561
  5. Step 5: Solve for x
    x = 57,681,148,561/112,552
  6. Step 6: Final answer
    x = 512,484.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.