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Finding the Third Proportional to 135,701 and 297,322

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Solution

The third proportional to 135,701 and 297,322 is: 651,434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,701 : 297,322 = 297,322 : x
  2. Step 2: Convert to fraction form
    135,701/297,322 = 297,322/x
  3. Step 3: Cross multiply
    135,701x = 297,322 × 297,322
  4. Step 4: Simplify right side
    135,701x = 88,400,371,684
  5. Step 5: Solve for x
    x = 88,400,371,684/135,701
  6. Step 6: Final answer
    x = 651,434.93

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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.