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Finding the Third Proportional to 230,810 and 365,166

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Solution

The third proportional to 230,810 and 365,166 is: 577,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,810 : 365,166 = 365,166 : x
  2. Step 2: Convert to fraction form
    230,810/365,166 = 365,166/x
  3. Step 3: Cross multiply
    230,810x = 365,166 × 365,166
  4. Step 4: Simplify right side
    230,810x = 133,346,207,556
  5. Step 5: Solve for x
    x = 133,346,207,556/230,810
  6. Step 6: Final answer
    x = 577,731.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.