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Finding the Third Proportional to 230,140.50 and 309,575

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Solution

The third proportional to 230,140.50 and 309,575 is: 416,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,140.50 : 309,575 = 309,575 : x
  2. Step 2: Convert to fraction form
    230,140.50/309,575 = 309,575/x
  3. Step 3: Cross multiply
    230,140.50x = 309,575 × 309,575
  4. Step 4: Simplify right side
    230,140.50x = 95,836,680,625
  5. Step 5: Solve for x
    x = 95,836,680,625/230,140.50
  6. Step 6: Final answer
    x = 416,426.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.