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Finding the Third Proportional to 230,310 and 349,002

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Solution

The third proportional to 230,310 and 349,002 is: 528,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,310 : 349,002 = 349,002 : x
  2. Step 2: Convert to fraction form
    230,310/349,002 = 349,002/x
  3. Step 3: Cross multiply
    230,310x = 349,002 × 349,002
  4. Step 4: Simplify right side
    230,310x = 121,802,396,004
  5. Step 5: Solve for x
    x = 121,802,396,004/230,310
  6. Step 6: Final answer
    x = 528,862.82

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