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Finding the Third Proportional to 88,290 and 191,247.75

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Solution

The third proportional to 88,290 and 191,247.75 is: 414,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,290 : 191,247.75 = 191,247.75 : x
  2. Step 2: Convert to fraction form
    88,290/191,247.75 = 191,247.75/x
  3. Step 3: Cross multiply
    88,290x = 191,247.75 × 191,247.75
  4. Step 4: Simplify right side
    88,290x = 36,575,701,880.06
  5. Step 5: Solve for x
    x = 36,575,701,880.06/88,290
  6. Step 6: Final answer
    x = 414,267.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.