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Finding the Third Proportional to 170,754.75 and 374,178

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Solution

The third proportional to 170,754.75 and 374,178 is: 819,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,754.75 : 374,178 = 374,178 : x
  2. Step 2: Convert to fraction form
    170,754.75/374,178 = 374,178/x
  3. Step 3: Cross multiply
    170,754.75x = 374,178 × 374,178
  4. Step 4: Simplify right side
    170,754.75x = 140,009,175,684
  5. Step 5: Solve for x
    x = 140,009,175,684/170,754.75
  6. Step 6: Final answer
    x = 819,943.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.