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Finding the Third Proportional to 170,188 and 375,152

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Solution

The third proportional to 170,188 and 375,152 is: 826,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,188 : 375,152 = 375,152 : x
  2. Step 2: Convert to fraction form
    170,188/375,152 = 375,152/x
  3. Step 3: Cross multiply
    170,188x = 375,152 × 375,152
  4. Step 4: Simplify right side
    170,188x = 140,739,023,104
  5. Step 5: Solve for x
    x = 140,739,023,104/170,188
  6. Step 6: Final answer
    x = 826,962.08

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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.