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Finding the Third Proportional to 144,100 and 215,574

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Solution

The third proportional to 144,100 and 215,574 is: 322,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,100 : 215,574 = 215,574 : x
  2. Step 2: Convert to fraction form
    144,100/215,574 = 215,574/x
  3. Step 3: Cross multiply
    144,100x = 215,574 × 215,574
  4. Step 4: Simplify right side
    144,100x = 46,472,149,476
  5. Step 5: Solve for x
    x = 46,472,149,476/144,100
  6. Step 6: Final answer
    x = 322,499.30

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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.