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Finding the Third Proportional to 236,448 and 357,134

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Solution

The third proportional to 236,448 and 357,134 is: 539,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,448 : 357,134 = 357,134 : x
  2. Step 2: Convert to fraction form
    236,448/357,134 = 357,134/x
  3. Step 3: Cross multiply
    236,448x = 357,134 × 357,134
  4. Step 4: Simplify right side
    236,448x = 127,544,693,956
  5. Step 5: Solve for x
    x = 127,544,693,956/236,448
  6. Step 6: Final answer
    x = 539,419.64

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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.