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Finding the Third Proportional to 164,331 and 259,986

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Solution

The third proportional to 164,331 and 259,986 is: 411,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,331 : 259,986 = 259,986 : x
  2. Step 2: Convert to fraction form
    164,331/259,986 = 259,986/x
  3. Step 3: Cross multiply
    164,331x = 259,986 × 259,986
  4. Step 4: Simplify right side
    164,331x = 67,592,720,196
  5. Step 5: Solve for x
    x = 67,592,720,196/164,331
  6. Step 6: Final answer
    x = 411,320.57

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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.