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Finding the Third Proportional to 234,184.50 and 510,799.50

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Solution

The third proportional to 234,184.50 and 510,799.50 is: 1,114,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,184.50 : 510,799.50 = 510,799.50 : x
  2. Step 2: Convert to fraction form
    234,184.50/510,799.50 = 510,799.50/x
  3. Step 3: Cross multiply
    234,184.50x = 510,799.50 × 510,799.50
  4. Step 4: Simplify right side
    234,184.50x = 260,916,129,200.25
  5. Step 5: Solve for x
    x = 260,916,129,200.25/234,184.50
  6. Step 6: Final answer
    x = 1,114,147.73

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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.