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Finding the Third Proportional to 88,630 and 191,345

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Solution

The third proportional to 88,630 and 191,345 is: 413,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,630 : 191,345 = 191,345 : x
  2. Step 2: Convert to fraction form
    88,630/191,345 = 191,345/x
  3. Step 3: Cross multiply
    88,630x = 191,345 × 191,345
  4. Step 4: Simplify right side
    88,630x = 36,612,909,025
  5. Step 5: Solve for x
    x = 36,612,909,025/88,630
  6. Step 6: Final answer
    x = 413,098.38

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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.