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Finding the Third Proportional to 148,974 and 208,386

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Solution

The third proportional to 148,974 and 208,386 is: 291,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,974 : 208,386 = 208,386 : x
  2. Step 2: Convert to fraction form
    148,974/208,386 = 208,386/x
  3. Step 3: Cross multiply
    148,974x = 208,386 × 208,386
  4. Step 4: Simplify right side
    148,974x = 43,424,724,996
  5. Step 5: Solve for x
    x = 43,424,724,996/148,974
  6. Step 6: Final answer
    x = 291,491.97

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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.