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Finding the Third Proportional to 154,967 and 239,463

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Solution

The third proportional to 154,967 and 239,463 is: 370,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,967 : 239,463 = 239,463 : x
  2. Step 2: Convert to fraction form
    154,967/239,463 = 239,463/x
  3. Step 3: Cross multiply
    154,967x = 239,463 × 239,463
  4. Step 4: Simplify right side
    154,967x = 57,342,528,369
  5. Step 5: Solve for x
    x = 57,342,528,369/154,967
  6. Step 6: Final answer
    x = 370,030.58

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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.