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Finding the Third Proportional to 215,250 and 335,178

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Solution

The third proportional to 215,250 and 335,178 is: 521,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,250 : 335,178 = 335,178 : x
  2. Step 2: Convert to fraction form
    215,250/335,178 = 335,178/x
  3. Step 3: Cross multiply
    215,250x = 335,178 × 335,178
  4. Step 4: Simplify right side
    215,250x = 112,344,291,684
  5. Step 5: Solve for x
    x = 112,344,291,684/215,250
  6. Step 6: Final answer
    x = 521,924.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.