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Finding the Third Proportional to 177,201 and 385,506

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Solution

The third proportional to 177,201 and 385,506 is: 838,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,201 : 385,506 = 385,506 : x
  2. Step 2: Convert to fraction form
    177,201/385,506 = 385,506/x
  3. Step 3: Cross multiply
    177,201x = 385,506 × 385,506
  4. Step 4: Simplify right side
    177,201x = 148,614,876,036
  5. Step 5: Solve for x
    x = 148,614,876,036/177,201
  6. Step 6: Final answer
    x = 838,679.67

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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.