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Finding the Third Proportional to 102,566 and 215,498

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Solution

The third proportional to 102,566 and 215,498 is: 452,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,566 : 215,498 = 215,498 : x
  2. Step 2: Convert to fraction form
    102,566/215,498 = 215,498/x
  3. Step 3: Cross multiply
    102,566x = 215,498 × 215,498
  4. Step 4: Simplify right side
    102,566x = 46,439,388,004
  5. Step 5: Solve for x
    x = 46,439,388,004/102,566
  6. Step 6: Final answer
    x = 452,775.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.