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Finding the Third Proportional to 107,448 and 234,840

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Solution

The third proportional to 107,448 and 234,840 is: 513,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,448 : 234,840 = 234,840 : x
  2. Step 2: Convert to fraction form
    107,448/234,840 = 234,840/x
  3. Step 3: Cross multiply
    107,448x = 234,840 × 234,840
  4. Step 4: Simplify right side
    107,448x = 55,149,825,600
  5. Step 5: Solve for x
    x = 55,149,825,600/107,448
  6. Step 6: Final answer
    x = 513,269.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.