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Finding the Third Proportional to 166,623 and 357,870

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Solution

The third proportional to 166,623 and 357,870 is: 768,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,623 : 357,870 = 357,870 : x
  2. Step 2: Convert to fraction form
    166,623/357,870 = 357,870/x
  3. Step 3: Cross multiply
    166,623x = 357,870 × 357,870
  4. Step 4: Simplify right side
    166,623x = 128,070,936,900
  5. Step 5: Solve for x
    x = 128,070,936,900/166,623
  6. Step 6: Final answer
    x = 768,627.00

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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.