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Finding the Third Proportional to 126,256.50 and 270,246

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Solution

The third proportional to 126,256.50 and 270,246 is: 578,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,256.50 : 270,246 = 270,246 : x
  2. Step 2: Convert to fraction form
    126,256.50/270,246 = 270,246/x
  3. Step 3: Cross multiply
    126,256.50x = 270,246 × 270,246
  4. Step 4: Simplify right side
    126,256.50x = 73,032,900,516
  5. Step 5: Solve for x
    x = 73,032,900,516/126,256.50
  6. Step 6: Final answer
    x = 578,448.64

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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.