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Finding the Third Proportional to 119,571 and 256,314

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Solution

The third proportional to 119,571 and 256,314 is: 549,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,571 : 256,314 = 256,314 : x
  2. Step 2: Convert to fraction form
    119,571/256,314 = 256,314/x
  3. Step 3: Cross multiply
    119,571x = 256,314 × 256,314
  4. Step 4: Simplify right side
    119,571x = 65,696,866,596
  5. Step 5: Solve for x
    x = 65,696,866,596/119,571
  6. Step 6: Final answer
    x = 549,438.13

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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.