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Finding the Third Proportional to 194,373 and 299,842.50

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Solution

The third proportional to 194,373 and 299,842.50 is: 462,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,373 : 299,842.50 = 299,842.50 : x
  2. Step 2: Convert to fraction form
    194,373/299,842.50 = 299,842.50/x
  3. Step 3: Cross multiply
    194,373x = 299,842.50 × 299,842.50
  4. Step 4: Simplify right side
    194,373x = 89,905,524,806.25
  5. Step 5: Solve for x
    x = 89,905,524,806.25/194,373
  6. Step 6: Final answer
    x = 462,541.22

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Why These Related Problems?

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