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Finding the Third Proportional to 165,750 and 357,708

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Solution

The third proportional to 165,750 and 357,708 is: 771,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,750 : 357,708 = 357,708 : x
  2. Step 2: Convert to fraction form
    165,750/357,708 = 357,708/x
  3. Step 3: Cross multiply
    165,750x = 357,708 × 357,708
  4. Step 4: Simplify right side
    165,750x = 127,955,013,264
  5. Step 5: Solve for x
    x = 127,955,013,264/165,750
  6. Step 6: Final answer
    x = 771,975.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.