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Finding the Third Proportional to 118,035 and 255,758

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Solution

The third proportional to 118,035 and 255,758 is: 554,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,035 : 255,758 = 255,758 : x
  2. Step 2: Convert to fraction form
    118,035/255,758 = 255,758/x
  3. Step 3: Cross multiply
    118,035x = 255,758 × 255,758
  4. Step 4: Simplify right side
    118,035x = 65,412,154,564
  5. Step 5: Solve for x
    x = 65,412,154,564/118,035
  6. Step 6: Final answer
    x = 554,175.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.