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Finding the Third Proportional to 150,265 and 317,297

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Solution

The third proportional to 150,265 and 317,297 is: 669,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,265 : 317,297 = 317,297 : x
  2. Step 2: Convert to fraction form
    150,265/317,297 = 317,297/x
  3. Step 3: Cross multiply
    150,265x = 317,297 × 317,297
  4. Step 4: Simplify right side
    150,265x = 100,677,386,209
  5. Step 5: Solve for x
    x = 100,677,386,209/150,265
  6. Step 6: Final answer
    x = 669,998.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.