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Finding the Third Proportional to 233,560.13 and 349,120.13

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Solution

The third proportional to 233,560.13 and 349,120.13 is: 521,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,560.13 : 349,120.13 = 349,120.13 : x
  2. Step 2: Convert to fraction form
    233,560.13/349,120.13 = 349,120.13/x
  3. Step 3: Cross multiply
    233,560.13x = 349,120.13 × 349,120.13
  4. Step 4: Simplify right side
    233,560.13x = 121,884,861,680.02
  5. Step 5: Solve for x
    x = 121,884,861,680.02/233,560.13
  6. Step 6: Final answer
    x = 521,856.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.