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Finding the Third Proportional to 144,878 and 221,624

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Solution

The third proportional to 144,878 and 221,624 is: 339,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,878 : 221,624 = 221,624 : x
  2. Step 2: Convert to fraction form
    144,878/221,624 = 221,624/x
  3. Step 3: Cross multiply
    144,878x = 221,624 × 221,624
  4. Step 4: Simplify right side
    144,878x = 49,117,197,376
  5. Step 5: Solve for x
    x = 49,117,197,376/144,878
  6. Step 6: Final answer
    x = 339,024.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.