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Finding the Third Proportional to 242,826.75 and 364,240.13

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Solution

The third proportional to 242,826.75 and 364,240.13 is: 546,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,826.75 : 364,240.13 = 364,240.13 : x
  2. Step 2: Convert to fraction form
    242,826.75/364,240.13 = 364,240.13/x
  3. Step 3: Cross multiply
    242,826.75x = 364,240.13 × 364,240.13
  4. Step 4: Simplify right side
    242,826.75x = 132,670,868,660.02
  5. Step 5: Solve for x
    x = 132,670,868,660.02/242,826.75
  6. Step 6: Final answer
    x = 546,360.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.