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Finding the Third Proportional to 119,584 and 256,340

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Solution

The third proportional to 119,584 and 256,340 is: 549,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,584 : 256,340 = 256,340 : x
  2. Step 2: Convert to fraction form
    119,584/256,340 = 256,340/x
  3. Step 3: Cross multiply
    119,584x = 256,340 × 256,340
  4. Step 4: Simplify right side
    119,584x = 65,710,195,600
  5. Step 5: Solve for x
    x = 65,710,195,600/119,584
  6. Step 6: Final answer
    x = 549,489.86

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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.