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Finding the Third Proportional to 150,045 and 232,257

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Solution

The third proportional to 150,045 and 232,257 is: 359,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,045 : 232,257 = 232,257 : x
  2. Step 2: Convert to fraction form
    150,045/232,257 = 232,257/x
  3. Step 3: Cross multiply
    150,045x = 232,257 × 232,257
  4. Step 4: Simplify right side
    150,045x = 53,943,314,049
  5. Step 5: Solve for x
    x = 53,943,314,049/150,045
  6. Step 6: Final answer
    x = 359,514.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.