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Finding the Third Proportional to 166,683 and 359,428

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Solution

The third proportional to 166,683 and 359,428 is: 775,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,683 : 359,428 = 359,428 : x
  2. Step 2: Convert to fraction form
    166,683/359,428 = 359,428/x
  3. Step 3: Cross multiply
    166,683x = 359,428 × 359,428
  4. Step 4: Simplify right side
    166,683x = 129,188,487,184
  5. Step 5: Solve for x
    x = 129,188,487,184/166,683
  6. Step 6: Final answer
    x = 775,054.97

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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.