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Finding the Third Proportional to 130,392 and 284,144

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Solution

The third proportional to 130,392 and 284,144 is: 619,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,392 : 284,144 = 284,144 : x
  2. Step 2: Convert to fraction form
    130,392/284,144 = 284,144/x
  3. Step 3: Cross multiply
    130,392x = 284,144 × 284,144
  4. Step 4: Simplify right side
    130,392x = 80,737,812,736
  5. Step 5: Solve for x
    x = 80,737,812,736/130,392
  6. Step 6: Final answer
    x = 619,192.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.