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Finding the Third Proportional to 121,411.50 and 257,617.50

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Solution

The third proportional to 121,411.50 and 257,617.50 is: 546,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411.50 : 257,617.50 = 257,617.50 : x
  2. Step 2: Convert to fraction form
    121,411.50/257,617.50 = 257,617.50/x
  3. Step 3: Cross multiply
    121,411.50x = 257,617.50 × 257,617.50
  4. Step 4: Simplify right side
    121,411.50x = 66,366,776,306.25
  5. Step 5: Solve for x
    x = 66,366,776,306.25/121,411.50
  6. Step 6: Final answer
    x = 546,626.77

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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.