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Finding the Third Proportional to 166,599 and 357,822

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Solution

The third proportional to 166,599 and 357,822 is: 768,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,599 : 357,822 = 357,822 : x
  2. Step 2: Convert to fraction form
    166,599/357,822 = 357,822/x
  3. Step 3: Cross multiply
    166,599x = 357,822 × 357,822
  4. Step 4: Simplify right side
    166,599x = 128,036,583,684
  5. Step 5: Solve for x
    x = 128,036,583,684/166,599
  6. Step 6: Final answer
    x = 768,531.53

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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.