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Finding the Third Proportional to 112,422 and 260,271

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Solution

The third proportional to 112,422 and 260,271 is: 602,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,422 : 260,271 = 260,271 : x
  2. Step 2: Convert to fraction form
    112,422/260,271 = 260,271/x
  3. Step 3: Cross multiply
    112,422x = 260,271 × 260,271
  4. Step 4: Simplify right side
    112,422x = 67,740,993,441
  5. Step 5: Solve for x
    x = 67,740,993,441/112,422
  6. Step 6: Final answer
    x = 602,559.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.