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Finding the Third Proportional to 230,787 and 349,254

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Solution

The third proportional to 230,787 and 349,254 is: 528,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,787 : 349,254 = 349,254 : x
  2. Step 2: Convert to fraction form
    230,787/349,254 = 349,254/x
  3. Step 3: Cross multiply
    230,787x = 349,254 × 349,254
  4. Step 4: Simplify right side
    230,787x = 121,978,356,516
  5. Step 5: Solve for x
    x = 121,978,356,516/230,787
  6. Step 6: Final answer
    x = 528,532.18

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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.