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Finding the Third Proportional to 174,865 and 262,297

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Solution

The third proportional to 174,865 and 262,297 is: 393,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,865 : 262,297 = 262,297 : x
  2. Step 2: Convert to fraction form
    174,865/262,297 = 262,297/x
  3. Step 3: Cross multiply
    174,865x = 262,297 × 262,297
  4. Step 4: Simplify right side
    174,865x = 68,799,716,209
  5. Step 5: Solve for x
    x = 68,799,716,209/174,865
  6. Step 6: Final answer
    x = 393,444.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.