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Finding the Third Proportional to 130,184 and 282,832

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Solution

The third proportional to 130,184 and 282,832 is: 614,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,184 : 282,832 = 282,832 : x
  2. Step 2: Convert to fraction form
    130,184/282,832 = 282,832/x
  3. Step 3: Cross multiply
    130,184x = 282,832 × 282,832
  4. Step 4: Simplify right side
    130,184x = 79,993,940,224
  5. Step 5: Solve for x
    x = 79,993,940,224/130,184
  6. Step 6: Final answer
    x = 614,468.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.