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Finding the Third Proportional to 232,300.13 and 355,114.69

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Solution

The third proportional to 232,300.13 and 355,114.69 is: 542,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,300.13 : 355,114.69 = 355,114.69 : x
  2. Step 2: Convert to fraction form
    232,300.13/355,114.69 = 355,114.69/x
  3. Step 3: Cross multiply
    232,300.13x = 355,114.69 × 355,114.69
  4. Step 4: Simplify right side
    232,300.13x = 126,106,441,278.22
  5. Step 5: Solve for x
    x = 126,106,441,278.22/232,300.13
  6. Step 6: Final answer
    x = 542,859.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.