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Finding the Third Proportional to 194,433 and 299,947.50

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Solution

The third proportional to 194,433 and 299,947.50 is: 462,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,433 : 299,947.50 = 299,947.50 : x
  2. Step 2: Convert to fraction form
    194,433/299,947.50 = 299,947.50/x
  3. Step 3: Cross multiply
    194,433x = 299,947.50 × 299,947.50
  4. Step 4: Simplify right side
    194,433x = 89,968,502,756.25
  5. Step 5: Solve for x
    x = 89,968,502,756.25/194,433
  6. Step 6: Final answer
    x = 462,722.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.