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Finding the Third Proportional to 147,623 and 208,026

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Solution

The third proportional to 147,623 and 208,026 is: 293,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,623 : 208,026 = 208,026 : x
  2. Step 2: Convert to fraction form
    147,623/208,026 = 208,026/x
  3. Step 3: Cross multiply
    147,623x = 208,026 × 208,026
  4. Step 4: Simplify right side
    147,623x = 43,274,816,676
  5. Step 5: Solve for x
    x = 43,274,816,676/147,623
  6. Step 6: Final answer
    x = 293,144.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.