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Finding the Third Proportional to 230,850 and 346,943.25

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Solution

The third proportional to 230,850 and 346,943.25 is: 521,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,850 : 346,943.25 = 346,943.25 : x
  2. Step 2: Convert to fraction form
    230,850/346,943.25 = 346,943.25/x
  3. Step 3: Cross multiply
    230,850x = 346,943.25 × 346,943.25
  4. Step 4: Simplify right side
    230,850x = 120,369,618,720.56
  5. Step 5: Solve for x
    x = 120,369,618,720.56/230,850
  6. Step 6: Final answer
    x = 521,419.18

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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.