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Finding the Third Proportional to 112,544 and 240,153.50

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Solution

The third proportional to 112,544 and 240,153.50 is: 512,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,544 : 240,153.50 = 240,153.50 : x
  2. Step 2: Convert to fraction form
    112,544/240,153.50 = 240,153.50/x
  3. Step 3: Cross multiply
    112,544x = 240,153.50 × 240,153.50
  4. Step 4: Simplify right side
    112,544x = 57,673,703,562.25
  5. Step 5: Solve for x
    x = 57,673,703,562.25/112,544
  6. Step 6: Final answer
    x = 512,454.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.