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Finding the Third Proportional to 121,114.41 and 260,738.16

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Solution

The third proportional to 121,114.41 and 260,738.16 is: 561,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,114.41 : 260,738.16 = 260,738.16 : x
  2. Step 2: Convert to fraction form
    121,114.41/260,738.16 = 260,738.16/x
  3. Step 3: Cross multiply
    121,114.41x = 260,738.16 × 260,738.16
  4. Step 4: Simplify right side
    121,114.41x = 67,984,386,124.65
  5. Step 5: Solve for x
    x = 67,984,386,124.65/121,114.41
  6. Step 6: Final answer
    x = 561,323.70

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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.