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Finding the Third Proportional to 159,542 and 348,064

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Solution

The third proportional to 159,542 and 348,064 is: 759,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,542 : 348,064 = 348,064 : x
  2. Step 2: Convert to fraction form
    159,542/348,064 = 348,064/x
  3. Step 3: Cross multiply
    159,542x = 348,064 × 348,064
  4. Step 4: Simplify right side
    159,542x = 121,148,548,096
  5. Step 5: Solve for x
    x = 121,148,548,096/159,542
  6. Step 6: Final answer
    x = 759,352.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.