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Finding the Third Proportional to 134,338 and 282,500

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Solution

The third proportional to 134,338 and 282,500 is: 594,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,338 : 282,500 = 282,500 : x
  2. Step 2: Convert to fraction form
    134,338/282,500 = 282,500/x
  3. Step 3: Cross multiply
    134,338x = 282,500 × 282,500
  4. Step 4: Simplify right side
    134,338x = 79,806,250,000
  5. Step 5: Solve for x
    x = 79,806,250,000/134,338
  6. Step 6: Final answer
    x = 594,070.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.