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Finding the Third Proportional to 123,246 and 252,332.25

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Solution

The third proportional to 123,246 and 252,332.25 is: 516,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,246 : 252,332.25 = 252,332.25 : x
  2. Step 2: Convert to fraction form
    123,246/252,332.25 = 252,332.25/x
  3. Step 3: Cross multiply
    123,246x = 252,332.25 × 252,332.25
  4. Step 4: Simplify right side
    123,246x = 63,671,564,390.06
  5. Step 5: Solve for x
    x = 63,671,564,390.06/123,246
  6. Step 6: Final answer
    x = 516,621.75

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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.