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Finding the Third Proportional to 190,154 and 284,638

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Solution

The third proportional to 190,154 and 284,638 is: 426,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,154 : 284,638 = 284,638 : x
  2. Step 2: Convert to fraction form
    190,154/284,638 = 284,638/x
  3. Step 3: Cross multiply
    190,154x = 284,638 × 284,638
  4. Step 4: Simplify right side
    190,154x = 81,018,791,044
  5. Step 5: Solve for x
    x = 81,018,791,044/190,154
  6. Step 6: Final answer
    x = 426,069.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.