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Finding the Third Proportional to 166,810 and 359,798

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Solution

The third proportional to 166,810 and 359,798 is: 776,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,810 : 359,798 = 359,798 : x
  2. Step 2: Convert to fraction form
    166,810/359,798 = 359,798/x
  3. Step 3: Cross multiply
    166,810x = 359,798 × 359,798
  4. Step 4: Simplify right side
    166,810x = 129,454,600,804
  5. Step 5: Solve for x
    x = 129,454,600,804/166,810
  6. Step 6: Final answer
    x = 776,060.19

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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.