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Finding the Third Proportional to 121,464 and 256,776

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Solution

The third proportional to 121,464 and 256,776 is: 542,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,464 : 256,776 = 256,776 : x
  2. Step 2: Convert to fraction form
    121,464/256,776 = 256,776/x
  3. Step 3: Cross multiply
    121,464x = 256,776 × 256,776
  4. Step 4: Simplify right side
    121,464x = 65,933,914,176
  5. Step 5: Solve for x
    x = 65,933,914,176/121,464
  6. Step 6: Final answer
    x = 542,826.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.