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Finding the Third Proportional to 126,354 and 272,390

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Solution

The third proportional to 126,354 and 272,390 is: 587,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,354 : 272,390 = 272,390 : x
  2. Step 2: Convert to fraction form
    126,354/272,390 = 272,390/x
  3. Step 3: Cross multiply
    126,354x = 272,390 × 272,390
  4. Step 4: Simplify right side
    126,354x = 74,196,312,100
  5. Step 5: Solve for x
    x = 74,196,312,100/126,354
  6. Step 6: Final answer
    x = 587,209.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.