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Finding the Third Proportional to 233,047.13 and 359,874.56

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Solution

The third proportional to 233,047.13 and 359,874.56 is: 555,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,047.13 : 359,874.56 = 359,874.56 : x
  2. Step 2: Convert to fraction form
    233,047.13/359,874.56 = 359,874.56/x
  3. Step 3: Cross multiply
    233,047.13x = 359,874.56 × 359,874.56
  4. Step 4: Simplify right side
    233,047.13x = 129,509,700,734.57
  5. Step 5: Solve for x
    x = 129,509,700,734.57/233,047.13
  6. Step 6: Final answer
    x = 555,723.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.