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Finding the Third Proportional to 112,452.50 and 232,862.50

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Solution

The third proportional to 112,452.50 and 232,862.50 is: 482,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,452.50 : 232,862.50 = 232,862.50 : x
  2. Step 2: Convert to fraction form
    112,452.50/232,862.50 = 232,862.50/x
  3. Step 3: Cross multiply
    112,452.50x = 232,862.50 × 232,862.50
  4. Step 4: Simplify right side
    112,452.50x = 54,224,943,906.25
  5. Step 5: Solve for x
    x = 54,224,943,906.25/112,452.50
  6. Step 6: Final answer
    x = 482,203.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.