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Finding the Third Proportional to 144,395 and 224,447

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Solution

The third proportional to 144,395 and 224,447 is: 348,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,395 : 224,447 = 224,447 : x
  2. Step 2: Convert to fraction form
    144,395/224,447 = 224,447/x
  3. Step 3: Cross multiply
    144,395x = 224,447 × 224,447
  4. Step 4: Simplify right side
    144,395x = 50,376,455,809
  5. Step 5: Solve for x
    x = 50,376,455,809/144,395
  6. Step 6: Final answer
    x = 348,879.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.