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Finding the Third Proportional to 119,597 and 256,366

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Solution

The third proportional to 119,597 and 256,366 is: 549,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,597 : 256,366 = 256,366 : x
  2. Step 2: Convert to fraction form
    119,597/256,366 = 256,366/x
  3. Step 3: Cross multiply
    119,597x = 256,366 × 256,366
  4. Step 4: Simplify right side
    119,597x = 65,723,525,956
  5. Step 5: Solve for x
    x = 65,723,525,956/119,597
  6. Step 6: Final answer
    x = 549,541.59

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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.