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Finding the Third Proportional to 107,472 and 236,416

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Solution

The third proportional to 107,472 and 236,416 is: 520,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,472 : 236,416 = 236,416 : x
  2. Step 2: Convert to fraction form
    107,472/236,416 = 236,416/x
  3. Step 3: Cross multiply
    107,472x = 236,416 × 236,416
  4. Step 4: Simplify right side
    107,472x = 55,892,525,056
  5. Step 5: Solve for x
    x = 55,892,525,056/107,472
  6. Step 6: Final answer
    x = 520,065.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.