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Finding the Third Proportional to 238,136 and 323,410

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Solution

The third proportional to 238,136 and 323,410 is: 439,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,136 : 323,410 = 323,410 : x
  2. Step 2: Convert to fraction form
    238,136/323,410 = 323,410/x
  3. Step 3: Cross multiply
    238,136x = 323,410 × 323,410
  4. Step 4: Simplify right side
    238,136x = 104,594,028,100
  5. Step 5: Solve for x
    x = 104,594,028,100/238,136
  6. Step 6: Final answer
    x = 439,219.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.