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Finding the Third Proportional to 257,208.75 and 346,960.13

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Solution

The third proportional to 257,208.75 and 346,960.13 is: 468,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,208.75 : 346,960.13 = 346,960.13 : x
  2. Step 2: Convert to fraction form
    257,208.75/346,960.13 = 346,960.13/x
  3. Step 3: Cross multiply
    257,208.75x = 346,960.13 × 346,960.13
  4. Step 4: Simplify right side
    257,208.75x = 120,381,328,340.02
  5. Step 5: Solve for x
    x = 120,381,328,340.02/257,208.75
  6. Step 6: Final answer
    x = 468,029.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.