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Finding the Third Proportional to 177,723 and 375,426

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Solution

The third proportional to 177,723 and 375,426 is: 793,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,723 : 375,426 = 375,426 : x
  2. Step 2: Convert to fraction form
    177,723/375,426 = 375,426/x
  3. Step 3: Cross multiply
    177,723x = 375,426 × 375,426
  4. Step 4: Simplify right side
    177,723x = 140,944,681,476
  5. Step 5: Solve for x
    x = 140,944,681,476/177,723
  6. Step 6: Final answer
    x = 793,058.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.