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Finding the Third Proportional to 117,552 and 252,778

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Solution

The third proportional to 117,552 and 252,778 is: 543,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,552 : 252,778 = 252,778 : x
  2. Step 2: Convert to fraction form
    117,552/252,778 = 252,778/x
  3. Step 3: Cross multiply
    117,552x = 252,778 × 252,778
  4. Step 4: Simplify right side
    117,552x = 63,896,717,284
  5. Step 5: Solve for x
    x = 63,896,717,284/117,552
  6. Step 6: Final answer
    x = 543,561.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.