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Finding the Third Proportional to 126,308 and 270,122.50

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Solution

The third proportional to 126,308 and 270,122.50 is: 577,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,308 : 270,122.50 = 270,122.50 : x
  2. Step 2: Convert to fraction form
    126,308/270,122.50 = 270,122.50/x
  3. Step 3: Cross multiply
    126,308x = 270,122.50 × 270,122.50
  4. Step 4: Simplify right side
    126,308x = 72,966,165,006.25
  5. Step 5: Solve for x
    x = 72,966,165,006.25/126,308
  6. Step 6: Final answer
    x = 577,684.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.