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Finding the Third Proportional to 253,049 and 382,187.50

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Solution

The third proportional to 253,049 and 382,187.50 is: 577,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,049 : 382,187.50 = 382,187.50 : x
  2. Step 2: Convert to fraction form
    253,049/382,187.50 = 382,187.50/x
  3. Step 3: Cross multiply
    253,049x = 382,187.50 × 382,187.50
  4. Step 4: Simplify right side
    253,049x = 146,067,285,156.25
  5. Step 5: Solve for x
    x = 146,067,285,156.25/253,049
  6. Step 6: Final answer
    x = 577,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.