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Finding the Third Proportional to 130,674 and 286,256

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Solution

The third proportional to 130,674 and 286,256 is: 627,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,674 : 286,256 = 286,256 : x
  2. Step 2: Convert to fraction form
    130,674/286,256 = 286,256/x
  3. Step 3: Cross multiply
    130,674x = 286,256 × 286,256
  4. Step 4: Simplify right side
    130,674x = 81,942,497,536
  5. Step 5: Solve for x
    x = 81,942,497,536/130,674
  6. Step 6: Final answer
    x = 627,075.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.