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Finding the Third Proportional to 190,203.75 and 303,298.50

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Solution

The third proportional to 190,203.75 and 303,298.50 is: 483,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,203.75 : 303,298.50 = 303,298.50 : x
  2. Step 2: Convert to fraction form
    190,203.75/303,298.50 = 303,298.50/x
  3. Step 3: Cross multiply
    190,203.75x = 303,298.50 × 303,298.50
  4. Step 4: Simplify right side
    190,203.75x = 91,989,980,102.25
  5. Step 5: Solve for x
    x = 91,989,980,102.25/190,203.75
  6. Step 6: Final answer
    x = 483,639.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.