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Finding the Third Proportional to 154,940 and 209,088

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Solution

The third proportional to 154,940 and 209,088 is: 282,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,940 : 209,088 = 209,088 : x
  2. Step 2: Convert to fraction form
    154,940/209,088 = 209,088/x
  3. Step 3: Cross multiply
    154,940x = 209,088 × 209,088
  4. Step 4: Simplify right side
    154,940x = 43,717,791,744
  5. Step 5: Solve for x
    x = 43,717,791,744/154,940
  6. Step 6: Final answer
    x = 282,159.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.