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Finding the Third Proportional to 131,183.30 and 242,655.75

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Solution

The third proportional to 131,183.30 and 242,655.75 is: 448,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,183.30 : 242,655.75 = 242,655.75 : x
  2. Step 2: Convert to fraction form
    131,183.30/242,655.75 = 242,655.75/x
  3. Step 3: Cross multiply
    131,183.30x = 242,655.75 × 242,655.75
  4. Step 4: Simplify right side
    131,183.30x = 58,881,813,008.06
  5. Step 5: Solve for x
    x = 58,881,813,008.06/131,183.30
  6. Step 6: Final answer
    x = 448,851.45

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.