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Finding the Third Proportional to 190,140 and 284,617.50

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Solution

The third proportional to 190,140 and 284,617.50 is: 426,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,140 : 284,617.50 = 284,617.50 : x
  2. Step 2: Convert to fraction form
    190,140/284,617.50 = 284,617.50/x
  3. Step 3: Cross multiply
    190,140x = 284,617.50 × 284,617.50
  4. Step 4: Simplify right side
    190,140x = 81,007,121,306.25
  5. Step 5: Solve for x
    x = 81,007,121,306.25/190,140
  6. Step 6: Final answer
    x = 426,039.35

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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.