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Finding the Third Proportional to 119,095.75 and 255,460

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Solution

The third proportional to 119,095.75 and 255,460 is: 547,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,095.75 : 255,460 = 255,460 : x
  2. Step 2: Convert to fraction form
    119,095.75/255,460 = 255,460/x
  3. Step 3: Cross multiply
    119,095.75x = 255,460 × 255,460
  4. Step 4: Simplify right side
    119,095.75x = 65,259,811,600
  5. Step 5: Solve for x
    x = 65,259,811,600/119,095.75
  6. Step 6: Final answer
    x = 547,960.88

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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.