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Finding the Third Proportional to 175,572 and 379,169

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Solution

The third proportional to 175,572 and 379,169 is: 818,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,572 : 379,169 = 379,169 : x
  2. Step 2: Convert to fraction form
    175,572/379,169 = 379,169/x
  3. Step 3: Cross multiply
    175,572x = 379,169 × 379,169
  4. Step 4: Simplify right side
    175,572x = 143,769,130,561
  5. Step 5: Solve for x
    x = 143,769,130,561/175,572
  6. Step 6: Final answer
    x = 818,861.38

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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.