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Finding the Third Proportional to 263,216 and 375,136

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Solution

The third proportional to 263,216 and 375,136 is: 534,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,216 : 375,136 = 375,136 : x
  2. Step 2: Convert to fraction form
    263,216/375,136 = 375,136/x
  3. Step 3: Cross multiply
    263,216x = 375,136 × 375,136
  4. Step 4: Simplify right side
    263,216x = 140,727,018,496
  5. Step 5: Solve for x
    x = 140,727,018,496/263,216
  6. Step 6: Final answer
    x = 534,644.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.