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Finding the Third Proportional to 224,448 and 334,656

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Solution

The third proportional to 224,448 and 334,656 is: 498,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,448 : 334,656 = 334,656 : x
  2. Step 2: Convert to fraction form
    224,448/334,656 = 334,656/x
  3. Step 3: Cross multiply
    224,448x = 334,656 × 334,656
  4. Step 4: Simplify right side
    224,448x = 111,994,638,336
  5. Step 5: Solve for x
    x = 111,994,638,336/224,448
  6. Step 6: Final answer
    x = 498,978.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.