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Finding the Third Proportional to 159,010.50 and 347,910

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Solution

The third proportional to 159,010.50 and 347,910 is: 761,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,010.50 : 347,910 = 347,910 : x
  2. Step 2: Convert to fraction form
    159,010.50/347,910 = 347,910/x
  3. Step 3: Cross multiply
    159,010.50x = 347,910 × 347,910
  4. Step 4: Simplify right side
    159,010.50x = 121,041,368,100
  5. Step 5: Solve for x
    x = 121,041,368,100/159,010.50
  6. Step 6: Final answer
    x = 761,216.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.