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Finding the Third Proportional to 170,767.13 and 367,365.38

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Solution

The third proportional to 170,767.13 and 367,365.38 is: 790,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,767.13 : 367,365.38 = 367,365.38 : x
  2. Step 2: Convert to fraction form
    170,767.13/367,365.38 = 367,365.38/x
  3. Step 3: Cross multiply
    170,767.13x = 367,365.38 × 367,365.38
  4. Step 4: Simplify right side
    170,767.13x = 134,957,318,748.89
  5. Step 5: Solve for x
    x = 134,957,318,748.89/170,767.13
  6. Step 6: Final answer
    x = 790,300.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.