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Finding the Third Proportional to 230,560 and 345,840

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Solution

The third proportional to 230,560 and 345,840 is: 518,760

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,560 : 345,840 = 345,840 : x
  2. Step 2: Convert to fraction form
    230,560/345,840 = 345,840/x
  3. Step 3: Cross multiply
    230,560x = 345,840 × 345,840
  4. Step 4: Simplify right side
    230,560x = 119,605,305,600
  5. Step 5: Solve for x
    x = 119,605,305,600/230,560
  6. Step 6: Final answer
    x = 518,760

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.