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Finding the Third Proportional to 109,132 and 237,486

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Solution

The third proportional to 109,132 and 237,486 is: 516,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,132 : 237,486 = 237,486 : x
  2. Step 2: Convert to fraction form
    109,132/237,486 = 237,486/x
  3. Step 3: Cross multiply
    109,132x = 237,486 × 237,486
  4. Step 4: Simplify right side
    109,132x = 56,399,600,196
  5. Step 5: Solve for x
    x = 56,399,600,196/109,132
  6. Step 6: Final answer
    x = 516,801.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.