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Finding the Third Proportional to 166,842 and 359,928

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Solution

The third proportional to 166,842 and 359,928 is: 776,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,842 : 359,928 = 359,928 : x
  2. Step 2: Convert to fraction form
    166,842/359,928 = 359,928/x
  3. Step 3: Cross multiply
    166,842x = 359,928 × 359,928
  4. Step 4: Simplify right side
    166,842x = 129,548,165,184
  5. Step 5: Solve for x
    x = 129,548,165,184/166,842
  6. Step 6: Final answer
    x = 776,472.14

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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.