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Finding the Third Proportional to 144,248 and 221,856

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Solution

The third proportional to 144,248 and 221,856 is: 341,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,248 : 221,856 = 221,856 : x
  2. Step 2: Convert to fraction form
    144,248/221,856 = 221,856/x
  3. Step 3: Cross multiply
    144,248x = 221,856 × 221,856
  4. Step 4: Simplify right side
    144,248x = 49,220,084,736
  5. Step 5: Solve for x
    x = 49,220,084,736/144,248
  6. Step 6: Final answer
    x = 341,218.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.