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Finding the Third Proportional to 177,042 and 270,724

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Solution

The third proportional to 177,042 and 270,724 is: 413,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,042 : 270,724 = 270,724 : x
  2. Step 2: Convert to fraction form
    177,042/270,724 = 270,724/x
  3. Step 3: Cross multiply
    177,042x = 270,724 × 270,724
  4. Step 4: Simplify right side
    177,042x = 73,291,484,176
  5. Step 5: Solve for x
    x = 73,291,484,176/177,042
  6. Step 6: Final answer
    x = 413,977.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.