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Finding the Third Proportional to 230,100 and 348,714

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Solution

The third proportional to 230,100 and 348,714 is: 528,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,100 : 348,714 = 348,714 : x
  2. Step 2: Convert to fraction form
    230,100/348,714 = 348,714/x
  3. Step 3: Cross multiply
    230,100x = 348,714 × 348,714
  4. Step 4: Simplify right side
    230,100x = 121,601,453,796
  5. Step 5: Solve for x
    x = 121,601,453,796/230,100
  6. Step 6: Final answer
    x = 528,472.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.