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Finding the Third Proportional to 109,357.50 and 238,479

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Solution

The third proportional to 109,357.50 and 238,479 is: 520,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,357.50 : 238,479 = 238,479 : x
  2. Step 2: Convert to fraction form
    109,357.50/238,479 = 238,479/x
  3. Step 3: Cross multiply
    109,357.50x = 238,479 × 238,479
  4. Step 4: Simplify right side
    109,357.50x = 56,872,233,441
  5. Step 5: Solve for x
    x = 56,872,233,441/109,357.50
  6. Step 6: Final answer
    x = 520,057.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.