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Finding the Third Proportional to 147,936 and 224,352

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Solution

The third proportional to 147,936 and 224,352 is: 340,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,936 : 224,352 = 224,352 : x
  2. Step 2: Convert to fraction form
    147,936/224,352 = 224,352/x
  3. Step 3: Cross multiply
    147,936x = 224,352 × 224,352
  4. Step 4: Simplify right side
    147,936x = 50,333,819,904
  5. Step 5: Solve for x
    x = 50,333,819,904/147,936
  6. Step 6: Final answer
    x = 340,240.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.