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Finding the Third Proportional to 252,724 and 338,262

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Solution

The third proportional to 252,724 and 338,262 is: 452,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,724 : 338,262 = 338,262 : x
  2. Step 2: Convert to fraction form
    252,724/338,262 = 338,262/x
  3. Step 3: Cross multiply
    252,724x = 338,262 × 338,262
  4. Step 4: Simplify right side
    252,724x = 114,421,180,644
  5. Step 5: Solve for x
    x = 114,421,180,644/252,724
  6. Step 6: Final answer
    x = 452,751.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.