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Finding the Third Proportional to 109,250.50 and 238,360

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Solution

The third proportional to 109,250.50 and 238,360 is: 520,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,250.50 : 238,360 = 238,360 : x
  2. Step 2: Convert to fraction form
    109,250.50/238,360 = 238,360/x
  3. Step 3: Cross multiply
    109,250.50x = 238,360 × 238,360
  4. Step 4: Simplify right side
    109,250.50x = 56,815,489,600
  5. Step 5: Solve for x
    x = 56,815,489,600/109,250.50
  6. Step 6: Final answer
    x = 520,047.87

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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.