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Finding the Third Proportional to 190,324 and 284,376

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Solution

The third proportional to 190,324 and 284,376 is: 424,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,324 : 284,376 = 284,376 : x
  2. Step 2: Convert to fraction form
    190,324/284,376 = 284,376/x
  3. Step 3: Cross multiply
    190,324x = 284,376 × 284,376
  4. Step 4: Simplify right side
    190,324x = 80,869,709,376
  5. Step 5: Solve for x
    x = 80,869,709,376/190,324
  6. Step 6: Final answer
    x = 424,905.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.