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Finding the Third Proportional to 190,146 and 284,626.50

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Solution

The third proportional to 190,146 and 284,626.50 is: 426,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,146 : 284,626.50 = 284,626.50 : x
  2. Step 2: Convert to fraction form
    190,146/284,626.50 = 284,626.50/x
  3. Step 3: Cross multiply
    190,146x = 284,626.50 × 284,626.50
  4. Step 4: Simplify right side
    190,146x = 81,012,244,502.25
  5. Step 5: Solve for x
    x = 81,012,244,502.25/190,146
  6. Step 6: Final answer
    x = 426,052.85

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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.