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Finding the Third Proportional to 144,247.50 and 333,946.13

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Solution

The third proportional to 144,247.50 and 333,946.13 is: 773,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,247.50 : 333,946.13 = 333,946.13 : x
  2. Step 2: Convert to fraction form
    144,247.50/333,946.13 = 333,946.13/x
  3. Step 3: Cross multiply
    144,247.50x = 333,946.13 × 333,946.13
  4. Step 4: Simplify right side
    144,247.50x = 111,520,014,402.52
  5. Step 5: Solve for x
    x = 111,520,014,402.52/144,247.50
  6. Step 6: Final answer
    x = 773,115.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.