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Finding the Third Proportional to 211,860 and 330,291

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Solution

The third proportional to 211,860 and 330,291 is: 514,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,860 : 330,291 = 330,291 : x
  2. Step 2: Convert to fraction form
    211,860/330,291 = 330,291/x
  3. Step 3: Cross multiply
    211,860x = 330,291 × 330,291
  4. Step 4: Simplify right side
    211,860x = 109,092,144,681
  5. Step 5: Solve for x
    x = 109,092,144,681/211,860
  6. Step 6: Final answer
    x = 514,925.63

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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.