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Finding the Third Proportional to 215,334 and 330,532

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Solution

The third proportional to 215,334 and 330,532 is: 507,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,334 : 330,532 = 330,532 : x
  2. Step 2: Convert to fraction form
    215,334/330,532 = 330,532/x
  3. Step 3: Cross multiply
    215,334x = 330,532 × 330,532
  4. Step 4: Simplify right side
    215,334x = 109,251,403,024
  5. Step 5: Solve for x
    x = 109,251,403,024/215,334
  6. Step 6: Final answer
    x = 507,357.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.