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Finding the Third Proportional to 148,830 and 208,179

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Solution

The third proportional to 148,830 and 208,179 is: 291,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,830 : 208,179 = 208,179 : x
  2. Step 2: Convert to fraction form
    148,830/208,179 = 208,179/x
  3. Step 3: Cross multiply
    148,830x = 208,179 × 208,179
  4. Step 4: Simplify right side
    148,830x = 43,338,496,041
  5. Step 5: Solve for x
    x = 43,338,496,041/148,830
  6. Step 6: Final answer
    x = 291,194.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.