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Finding the Third Proportional to 236,481 and 357,175

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Solution

The third proportional to 236,481 and 357,175 is: 539,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,481 : 357,175 = 357,175 : x
  2. Step 2: Convert to fraction form
    236,481/357,175 = 357,175/x
  3. Step 3: Cross multiply
    236,481x = 357,175 × 357,175
  4. Step 4: Simplify right side
    236,481x = 127,573,980,625
  5. Step 5: Solve for x
    x = 127,573,980,625/236,481
  6. Step 6: Final answer
    x = 539,468.21

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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.