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Finding the Third Proportional to 268,234.13 and 375,985.13

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Solution

The third proportional to 268,234.13 and 375,985.13 is: 527,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,234.13 : 375,985.13 = 375,985.13 : x
  2. Step 2: Convert to fraction form
    268,234.13/375,985.13 = 375,985.13/x
  3. Step 3: Cross multiply
    268,234.13x = 375,985.13 × 375,985.13
  4. Step 4: Simplify right side
    268,234.13x = 141,364,814,221.27
  5. Step 5: Solve for x
    x = 141,364,814,221.27/268,234.13
  6. Step 6: Final answer
    x = 527,020.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.