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Finding the Third Proportional to 154,772 and 242,598

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Solution

The third proportional to 154,772 and 242,598 is: 380,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,772 : 242,598 = 242,598 : x
  2. Step 2: Convert to fraction form
    154,772/242,598 = 242,598/x
  3. Step 3: Cross multiply
    154,772x = 242,598 × 242,598
  4. Step 4: Simplify right side
    154,772x = 58,853,789,604
  5. Step 5: Solve for x
    x = 58,853,789,604/154,772
  6. Step 6: Final answer
    x = 380,261.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.