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Finding the Third Proportional to 170,095.50 and 356,593.50

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Solution

The third proportional to 170,095.50 and 356,593.50 is: 747,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,095.50 : 356,593.50 = 356,593.50 : x
  2. Step 2: Convert to fraction form
    170,095.50/356,593.50 = 356,593.50/x
  3. Step 3: Cross multiply
    170,095.50x = 356,593.50 × 356,593.50
  4. Step 4: Simplify right side
    170,095.50x = 127,158,924,242.25
  5. Step 5: Solve for x
    x = 127,158,924,242.25/170,095.50
  6. Step 6: Final answer
    x = 747,573.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.