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Finding the Third Proportional to 230,374 and 348,790

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Solution

The third proportional to 230,374 and 348,790 is: 528,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,374 : 348,790 = 348,790 : x
  2. Step 2: Convert to fraction form
    230,374/348,790 = 348,790/x
  3. Step 3: Cross multiply
    230,374x = 348,790 × 348,790
  4. Step 4: Simplify right side
    230,374x = 121,654,464,100
  5. Step 5: Solve for x
    x = 121,654,464,100/230,374
  6. Step 6: Final answer
    x = 528,073.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.