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Finding the Third Proportional to 114,144 and 235,552

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Solution

The third proportional to 114,144 and 235,552 is: 486,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,144 : 235,552 = 235,552 : x
  2. Step 2: Convert to fraction form
    114,144/235,552 = 235,552/x
  3. Step 3: Cross multiply
    114,144x = 235,552 × 235,552
  4. Step 4: Simplify right side
    114,144x = 55,484,744,704
  5. Step 5: Solve for x
    x = 55,484,744,704/114,144
  6. Step 6: Final answer
    x = 486,094.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.