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Finding the Third Proportional to 253,154 and 392,494

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Solution

The third proportional to 253,154 and 392,494 is: 608,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,154 : 392,494 = 392,494 : x
  2. Step 2: Convert to fraction form
    253,154/392,494 = 392,494/x
  3. Step 3: Cross multiply
    253,154x = 392,494 × 392,494
  4. Step 4: Simplify right side
    253,154x = 154,051,540,036
  5. Step 5: Solve for x
    x = 154,051,540,036/253,154
  6. Step 6: Final answer
    x = 608,528.96

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Why These Related Problems?

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