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Finding the Third Proportional to 236,522 and 357,231

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Solution

The third proportional to 236,522 and 357,231 is: 539,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,522 : 357,231 = 357,231 : x
  2. Step 2: Convert to fraction form
    236,522/357,231 = 357,231/x
  3. Step 3: Cross multiply
    236,522x = 357,231 × 357,231
  4. Step 4: Simplify right side
    236,522x = 127,613,987,361
  5. Step 5: Solve for x
    x = 127,613,987,361/236,522
  6. Step 6: Final answer
    x = 539,543.84

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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.