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Finding the Third Proportional to 194,124 and 292,554

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Solution

The third proportional to 194,124 and 292,554 is: 440,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,124 : 292,554 = 292,554 : x
  2. Step 2: Convert to fraction form
    194,124/292,554 = 292,554/x
  3. Step 3: Cross multiply
    194,124x = 292,554 × 292,554
  4. Step 4: Simplify right side
    194,124x = 85,587,842,916
  5. Step 5: Solve for x
    x = 85,587,842,916/194,124
  6. Step 6: Final answer
    x = 440,892.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.