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Finding the Third Proportional to 170,351 and 370,530

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Solution

The third proportional to 170,351 and 370,530 is: 805,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,351 : 370,530 = 370,530 : x
  2. Step 2: Convert to fraction form
    170,351/370,530 = 370,530/x
  3. Step 3: Cross multiply
    170,351x = 370,530 × 370,530
  4. Step 4: Simplify right side
    170,351x = 137,292,480,900
  5. Step 5: Solve for x
    x = 137,292,480,900/170,351
  6. Step 6: Final answer
    x = 805,938.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.