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Finding the Third Proportional to 130,512 and 286,235.25

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Solution

The third proportional to 130,512 and 286,235.25 is: 627,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,512 : 286,235.25 = 286,235.25 : x
  2. Step 2: Convert to fraction form
    130,512/286,235.25 = 286,235.25/x
  3. Step 3: Cross multiply
    130,512x = 286,235.25 × 286,235.25
  4. Step 4: Simplify right side
    130,512x = 81,930,618,342.56
  5. Step 5: Solve for x
    x = 81,930,618,342.56/130,512
  6. Step 6: Final answer
    x = 627,763.10

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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.