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Finding the Third Proportional to 176,359 and 380,593

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Solution

The third proportional to 176,359 and 380,593 is: 821,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,359 : 380,593 = 380,593 : x
  2. Step 2: Convert to fraction form
    176,359/380,593 = 380,593/x
  3. Step 3: Cross multiply
    176,359x = 380,593 × 380,593
  4. Step 4: Simplify right side
    176,359x = 144,851,031,649
  5. Step 5: Solve for x
    x = 144,851,031,649/176,359
  6. Step 6: Final answer
    x = 821,341.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.