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Finding the Third Proportional to 135,452 and 297,152

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Solution

The third proportional to 135,452 and 297,152 is: 651,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,452 : 297,152 = 297,152 : x
  2. Step 2: Convert to fraction form
    135,452/297,152 = 297,152/x
  3. Step 3: Cross multiply
    135,452x = 297,152 × 297,152
  4. Step 4: Simplify right side
    135,452x = 88,299,311,104
  5. Step 5: Solve for x
    x = 88,299,311,104/135,452
  6. Step 6: Final answer
    x = 651,886.36

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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.