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Finding the Third Proportional to 107,438 and 234,558

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Solution

The third proportional to 107,438 and 234,558 is: 512,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,438 : 234,558 = 234,558 : x
  2. Step 2: Convert to fraction form
    107,438/234,558 = 234,558/x
  3. Step 3: Cross multiply
    107,438x = 234,558 × 234,558
  4. Step 4: Simplify right side
    107,438x = 55,017,455,364
  5. Step 5: Solve for x
    x = 55,017,455,364/107,438
  6. Step 6: Final answer
    x = 512,085.62

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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.