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Finding the Third Proportional to 194,188.50 and 305,133.75

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Solution

The third proportional to 194,188.50 and 305,133.75 is: 479,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,188.50 : 305,133.75 = 305,133.75 : x
  2. Step 2: Convert to fraction form
    194,188.50/305,133.75 = 305,133.75/x
  3. Step 3: Cross multiply
    194,188.50x = 305,133.75 × 305,133.75
  4. Step 4: Simplify right side
    194,188.50x = 93,106,605,389.06
  5. Step 5: Solve for x
    x = 93,106,605,389.06/194,188.50
  6. Step 6: Final answer
    x = 479,465.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.