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Finding the Third Proportional to 224,048 and 354,940

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Solution

The third proportional to 224,048 and 354,940 is: 562,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,048 : 354,940 = 354,940 : x
  2. Step 2: Convert to fraction form
    224,048/354,940 = 354,940/x
  3. Step 3: Cross multiply
    224,048x = 354,940 × 354,940
  4. Step 4: Simplify right side
    224,048x = 125,982,403,600
  5. Step 5: Solve for x
    x = 125,982,403,600/224,048
  6. Step 6: Final answer
    x = 562,300.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.