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Finding the Third Proportional to 150,598 and 242,178

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Solution

The third proportional to 150,598 and 242,178 is: 389,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,598 : 242,178 = 242,178 : x
  2. Step 2: Convert to fraction form
    150,598/242,178 = 242,178/x
  3. Step 3: Cross multiply
    150,598x = 242,178 × 242,178
  4. Step 4: Simplify right side
    150,598x = 58,650,183,684
  5. Step 5: Solve for x
    x = 58,650,183,684/150,598
  6. Step 6: Final answer
    x = 389,448.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.