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Finding the Third Proportional to 134,582 and 208,974

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Solution

The third proportional to 134,582 and 208,974 is: 324,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,582 : 208,974 = 208,974 : x
  2. Step 2: Convert to fraction form
    134,582/208,974 = 208,974/x
  3. Step 3: Cross multiply
    134,582x = 208,974 × 208,974
  4. Step 4: Simplify right side
    134,582x = 43,670,132,676
  5. Step 5: Solve for x
    x = 43,670,132,676/134,582
  6. Step 6: Final answer
    x = 324,487.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.