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Finding the Third Proportional to 154,744 and 245,940

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Solution

The third proportional to 154,744 and 245,940 is: 390,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,744 : 245,940 = 245,940 : x
  2. Step 2: Convert to fraction form
    154,744/245,940 = 245,940/x
  3. Step 3: Cross multiply
    154,744x = 245,940 × 245,940
  4. Step 4: Simplify right side
    154,744x = 60,486,483,600
  5. Step 5: Solve for x
    x = 60,486,483,600/154,744
  6. Step 6: Final answer
    x = 390,880.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.