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Finding the Third Proportional to 224,047 and 354,939

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Solution

The third proportional to 224,047 and 354,939 is: 562,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,047 : 354,939 = 354,939 : x
  2. Step 2: Convert to fraction form
    224,047/354,939 = 354,939/x
  3. Step 3: Cross multiply
    224,047x = 354,939 × 354,939
  4. Step 4: Simplify right side
    224,047x = 125,981,693,721
  5. Step 5: Solve for x
    x = 125,981,693,721/224,047
  6. Step 6: Final answer
    x = 562,300.29

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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.