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Finding the Third Proportional to 253,158 and 392,500

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Solution

The third proportional to 253,158 and 392,500 is: 608,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,158 : 392,500 = 392,500 : x
  2. Step 2: Convert to fraction form
    253,158/392,500 = 392,500/x
  3. Step 3: Cross multiply
    253,158x = 392,500 × 392,500
  4. Step 4: Simplify right side
    253,158x = 154,056,250,000
  5. Step 5: Solve for x
    x = 154,056,250,000/253,158
  6. Step 6: Final answer
    x = 608,537.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.