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Finding the Third Proportional to 240,601.50 and 361,822.50

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Solution

The third proportional to 240,601.50 and 361,822.50 is: 544,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,601.50 : 361,822.50 = 361,822.50 : x
  2. Step 2: Convert to fraction form
    240,601.50/361,822.50 = 361,822.50/x
  3. Step 3: Cross multiply
    240,601.50x = 361,822.50 × 361,822.50
  4. Step 4: Simplify right side
    240,601.50x = 130,915,521,506.25
  5. Step 5: Solve for x
    x = 130,915,521,506.25/240,601.50
  6. Step 6: Final answer
    x = 544,117.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.