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Finding the Third Proportional to 230,789 and 349,257

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Solution

The third proportional to 230,789 and 349,257 is: 528,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,789 : 349,257 = 349,257 : x
  2. Step 2: Convert to fraction form
    230,789/349,257 = 349,257/x
  3. Step 3: Cross multiply
    230,789x = 349,257 × 349,257
  4. Step 4: Simplify right side
    230,789x = 121,980,452,049
  5. Step 5: Solve for x
    x = 121,980,452,049/230,789
  6. Step 6: Final answer
    x = 528,536.68

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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.