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Finding the Third Proportional to 166,486 and 359,573.75

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Solution

The third proportional to 166,486 and 359,573.75 is: 776,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,486 : 359,573.75 = 359,573.75 : x
  2. Step 2: Convert to fraction form
    166,486/359,573.75 = 359,573.75/x
  3. Step 3: Cross multiply
    166,486x = 359,573.75 × 359,573.75
  4. Step 4: Simplify right side
    166,486x = 129,293,281,689.06
  5. Step 5: Solve for x
    x = 129,293,281,689.06/166,486
  6. Step 6: Final answer
    x = 776,601.53

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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.