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Finding the Third Proportional to 230,548 and 345,822

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Solution

The third proportional to 230,548 and 345,822 is: 518,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,548 : 345,822 = 345,822 : x
  2. Step 2: Convert to fraction form
    230,548/345,822 = 345,822/x
  3. Step 3: Cross multiply
    230,548x = 345,822 × 345,822
  4. Step 4: Simplify right side
    230,548x = 119,592,855,684
  5. Step 5: Solve for x
    x = 119,592,855,684/230,548
  6. Step 6: Final answer
    x = 518,733

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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.