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Finding the Third Proportional to 131,352 and 208,023

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Solution

The third proportional to 131,352 and 208,023 is: 329,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,352 : 208,023 = 208,023 : x
  2. Step 2: Convert to fraction form
    131,352/208,023 = 208,023/x
  3. Step 3: Cross multiply
    131,352x = 208,023 × 208,023
  4. Step 4: Simplify right side
    131,352x = 43,273,568,529
  5. Step 5: Solve for x
    x = 43,273,568,529/131,352
  6. Step 6: Final answer
    x = 329,447.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.