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Finding the Third Proportional to 88,482 and 191,040

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Solution

The third proportional to 88,482 and 191,040 is: 412,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,482 : 191,040 = 191,040 : x
  2. Step 2: Convert to fraction form
    88,482/191,040 = 191,040/x
  3. Step 3: Cross multiply
    88,482x = 191,040 × 191,040
  4. Step 4: Simplify right side
    88,482x = 36,496,281,600
  5. Step 5: Solve for x
    x = 36,496,281,600/88,482
  6. Step 6: Final answer
    x = 412,471.26

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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.