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Finding the Third Proportional to 122,832 and 260,426.25

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Solution

The third proportional to 122,832 and 260,426.25 is: 552,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,832 : 260,426.25 = 260,426.25 : x
  2. Step 2: Convert to fraction form
    122,832/260,426.25 = 260,426.25/x
  3. Step 3: Cross multiply
    122,832x = 260,426.25 × 260,426.25
  4. Step 4: Simplify right side
    122,832x = 67,821,831,689.06
  5. Step 5: Solve for x
    x = 67,821,831,689.06/122,832
  6. Step 6: Final answer
    x = 552,151.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.