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Finding the Third Proportional to 193,229 and 415,028

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Solution

The third proportional to 193,229 and 415,028 is: 891,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,229 : 415,028 = 415,028 : x
  2. Step 2: Convert to fraction form
    193,229/415,028 = 415,028/x
  3. Step 3: Cross multiply
    193,229x = 415,028 × 415,028
  4. Step 4: Simplify right side
    193,229x = 172,248,240,784
  5. Step 5: Solve for x
    x = 172,248,240,784/193,229
  6. Step 6: Final answer
    x = 891,420.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.