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Finding the Third Proportional to 88,008 and 207,536

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Solution

The third proportional to 88,008 and 207,536 is: 489,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,008 : 207,536 = 207,536 : x
  2. Step 2: Convert to fraction form
    88,008/207,536 = 207,536/x
  3. Step 3: Cross multiply
    88,008x = 207,536 × 207,536
  4. Step 4: Simplify right side
    88,008x = 43,071,191,296
  5. Step 5: Solve for x
    x = 43,071,191,296/88,008
  6. Step 6: Final answer
    x = 489,400.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.