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Finding the Third Proportional to 170,277 and 370,029

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Solution

The third proportional to 170,277 and 370,029 is: 804,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,277 : 370,029 = 370,029 : x
  2. Step 2: Convert to fraction form
    170,277/370,029 = 370,029/x
  3. Step 3: Cross multiply
    170,277x = 370,029 × 370,029
  4. Step 4: Simplify right side
    170,277x = 136,921,460,841
  5. Step 5: Solve for x
    x = 136,921,460,841/170,277
  6. Step 6: Final answer
    x = 804,110.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.