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Finding the Third Proportional to 119,970.75 and 257,397

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Solution

The third proportional to 119,970.75 and 257,397 is: 552,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,970.75 : 257,397 = 257,397 : x
  2. Step 2: Convert to fraction form
    119,970.75/257,397 = 257,397/x
  3. Step 3: Cross multiply
    119,970.75x = 257,397 × 257,397
  4. Step 4: Simplify right side
    119,970.75x = 66,253,215,609
  5. Step 5: Solve for x
    x = 66,253,215,609/119,970.75
  6. Step 6: Final answer
    x = 552,244.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.