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Finding the Third Proportional to 233,376 and 512,136

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Solution

The third proportional to 233,376 and 512,136 is: 1,123,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,376 : 512,136 = 512,136 : x
  2. Step 2: Convert to fraction form
    233,376/512,136 = 512,136/x
  3. Step 3: Cross multiply
    233,376x = 512,136 × 512,136
  4. Step 4: Simplify right side
    233,376x = 262,283,282,496
  5. Step 5: Solve for x
    x = 262,283,282,496/233,376
  6. Step 6: Final answer
    x = 1,123,865.70

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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.