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Finding the Third Proportional to 144,032 and 225,492

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Solution

The third proportional to 144,032 and 225,492 is: 353,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,032 : 225,492 = 225,492 : x
  2. Step 2: Convert to fraction form
    144,032/225,492 = 225,492/x
  3. Step 3: Cross multiply
    144,032x = 225,492 × 225,492
  4. Step 4: Simplify right side
    144,032x = 50,846,642,064
  5. Step 5: Solve for x
    x = 50,846,642,064/144,032
  6. Step 6: Final answer
    x = 353,023.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.