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Finding the Third Proportional to 230,468 and 345,708

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Solution

The third proportional to 230,468 and 345,708 is: 518,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,468 : 345,708 = 345,708 : x
  2. Step 2: Convert to fraction form
    230,468/345,708 = 345,708/x
  3. Step 3: Cross multiply
    230,468x = 345,708 × 345,708
  4. Step 4: Simplify right side
    230,468x = 119,514,021,264
  5. Step 5: Solve for x
    x = 119,514,021,264/230,468
  6. Step 6: Final answer
    x = 518,571.00

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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.