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Finding the Third Proportional to 238,959 and 365,971.50

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Solution

The third proportional to 238,959 and 365,971.50 is: 560,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,959 : 365,971.50 = 365,971.50 : x
  2. Step 2: Convert to fraction form
    238,959/365,971.50 = 365,971.50/x
  3. Step 3: Cross multiply
    238,959x = 365,971.50 × 365,971.50
  4. Step 4: Simplify right side
    238,959x = 133,935,138,812.25
  5. Step 5: Solve for x
    x = 133,935,138,812.25/238,959
  6. Step 6: Final answer
    x = 560,494.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.