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Finding the Third Proportional to 122,302.13 and 262,684.13

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Solution

The third proportional to 122,302.13 and 262,684.13 is: 564,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,302.13 : 262,684.13 = 262,684.13 : x
  2. Step 2: Convert to fraction form
    122,302.13/262,684.13 = 262,684.13/x
  3. Step 3: Cross multiply
    122,302.13x = 262,684.13 × 262,684.13
  4. Step 4: Simplify right side
    122,302.13x = 69,002,949,527.02
  5. Step 5: Solve for x
    x = 69,002,949,527.02/122,302.13
  6. Step 6: Final answer
    x = 564,200.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.