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Finding the Third Proportional to 119,776 and 254,156

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Solution

The third proportional to 119,776 and 254,156 is: 539,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,776 : 254,156 = 254,156 : x
  2. Step 2: Convert to fraction form
    119,776/254,156 = 254,156/x
  3. Step 3: Cross multiply
    119,776x = 254,156 × 254,156
  4. Step 4: Simplify right side
    119,776x = 64,595,272,336
  5. Step 5: Solve for x
    x = 64,595,272,336/119,776
  6. Step 6: Final answer
    x = 539,300.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.