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Finding the Third Proportional to 123,239 and 252,316

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Solution

The third proportional to 123,239 and 252,316 is: 516,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,239 : 252,316 = 252,316 : x
  2. Step 2: Convert to fraction form
    123,239/252,316 = 252,316/x
  3. Step 3: Cross multiply
    123,239x = 252,316 × 252,316
  4. Step 4: Simplify right side
    123,239x = 63,663,363,856
  5. Step 5: Solve for x
    x = 63,663,363,856/123,239
  6. Step 6: Final answer
    x = 516,584.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.