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Finding the Third Proportional to 135,852 and 297,948

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Solution

The third proportional to 135,852 and 297,948 is: 653,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,852 : 297,948 = 297,948 : x
  2. Step 2: Convert to fraction form
    135,852/297,948 = 297,948/x
  3. Step 3: Cross multiply
    135,852x = 297,948 × 297,948
  4. Step 4: Simplify right side
    135,852x = 88,773,010,704
  5. Step 5: Solve for x
    x = 88,773,010,704/135,852
  6. Step 6: Final answer
    x = 653,453.84

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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.