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Finding the Third Proportional to 223,285 and 292,023

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Solution

The third proportional to 223,285 and 292,023 is: 381,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,285 : 292,023 = 292,023 : x
  2. Step 2: Convert to fraction form
    223,285/292,023 = 292,023/x
  3. Step 3: Cross multiply
    223,285x = 292,023 × 292,023
  4. Step 4: Simplify right side
    223,285x = 85,277,432,529
  5. Step 5: Solve for x
    x = 85,277,432,529/223,285
  6. Step 6: Final answer
    x = 381,921.90

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.