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Finding the Third Proportional to 211,766 and 328,030

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Solution

The third proportional to 211,766 and 328,030 is: 508,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,766 : 328,030 = 328,030 : x
  2. Step 2: Convert to fraction form
    211,766/328,030 = 328,030/x
  3. Step 3: Cross multiply
    211,766x = 328,030 × 328,030
  4. Step 4: Simplify right side
    211,766x = 107,603,680,900
  5. Step 5: Solve for x
    x = 107,603,680,900/211,766
  6. Step 6: Final answer
    x = 508,125.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.