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Finding the Third Proportional to 194,228 and 423,760

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Solution

The third proportional to 194,228 and 423,760 is: 924,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,228 : 423,760 = 423,760 : x
  2. Step 2: Convert to fraction form
    194,228/423,760 = 423,760/x
  3. Step 3: Cross multiply
    194,228x = 423,760 × 423,760
  4. Step 4: Simplify right side
    194,228x = 179,572,537,600
  5. Step 5: Solve for x
    x = 179,572,537,600/194,228
  6. Step 6: Final answer
    x = 924,545.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.