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Finding the Third Proportional to 161,109 and 242,595

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Solution

The third proportional to 161,109 and 242,595 is: 365,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,109 : 242,595 = 242,595 : x
  2. Step 2: Convert to fraction form
    161,109/242,595 = 242,595/x
  3. Step 3: Cross multiply
    161,109x = 242,595 × 242,595
  4. Step 4: Simplify right side
    161,109x = 58,852,334,025
  5. Step 5: Solve for x
    x = 58,852,334,025/161,109
  6. Step 6: Final answer
    x = 365,295.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.