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Finding the Third Proportional to 170,178 and 375,132

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Solution

The third proportional to 170,178 and 375,132 is: 826,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,178 : 375,132 = 375,132 : x
  2. Step 2: Convert to fraction form
    170,178/375,132 = 375,132/x
  3. Step 3: Cross multiply
    170,178x = 375,132 × 375,132
  4. Step 4: Simplify right side
    170,178x = 140,724,017,424
  5. Step 5: Solve for x
    x = 140,724,017,424/170,178
  6. Step 6: Final answer
    x = 826,922.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.