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Finding the Third Proportional to 144,400.88 and 216,601.50

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Solution

The third proportional to 144,400.88 and 216,601.50 is: 324,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,400.88 : 216,601.50 = 216,601.50 : x
  2. Step 2: Convert to fraction form
    144,400.88/216,601.50 = 216,601.50/x
  3. Step 3: Cross multiply
    144,400.88x = 216,601.50 × 216,601.50
  4. Step 4: Simplify right side
    144,400.88x = 46,916,209,802.25
  5. Step 5: Solve for x
    x = 46,916,209,802.25/144,400.88
  6. Step 6: Final answer
    x = 324,902.53

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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.