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Finding the Third Proportional to 159,280 and 348,100

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Solution

The third proportional to 159,280 and 348,100 is: 760,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,280 : 348,100 = 348,100 : x
  2. Step 2: Convert to fraction form
    159,280/348,100 = 348,100/x
  3. Step 3: Cross multiply
    159,280x = 348,100 × 348,100
  4. Step 4: Simplify right side
    159,280x = 121,173,610,000
  5. Step 5: Solve for x
    x = 121,173,610,000/159,280
  6. Step 6: Final answer
    x = 760,758.48

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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.