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Finding the Third Proportional to 224,028 and 354,908

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Solution

The third proportional to 224,028 and 354,908 is: 562,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,028 : 354,908 = 354,908 : x
  2. Step 2: Convert to fraction form
    224,028/354,908 = 354,908/x
  3. Step 3: Cross multiply
    224,028x = 354,908 × 354,908
  4. Step 4: Simplify right side
    224,028x = 125,959,688,464
  5. Step 5: Solve for x
    x = 125,959,688,464/224,028
  6. Step 6: Final answer
    x = 562,249.76

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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.