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Finding the Third Proportional to 165,828 and 357,864

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Solution

The third proportional to 165,828 and 357,864 is: 772,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,828 : 357,864 = 357,864 : x
  2. Step 2: Convert to fraction form
    165,828/357,864 = 357,864/x
  3. Step 3: Cross multiply
    165,828x = 357,864 × 357,864
  4. Step 4: Simplify right side
    165,828x = 128,066,642,496
  5. Step 5: Solve for x
    x = 128,066,642,496/165,828
  6. Step 6: Final answer
    x = 772,286.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.