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Finding the Third Proportional to 194,432.50 and 299,940

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Solution

The third proportional to 194,432.50 and 299,940 is: 462,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,432.50 : 299,940 = 299,940 : x
  2. Step 2: Convert to fraction form
    194,432.50/299,940 = 299,940/x
  3. Step 3: Cross multiply
    194,432.50x = 299,940 × 299,940
  4. Step 4: Simplify right side
    194,432.50x = 89,964,003,600
  5. Step 5: Solve for x
    x = 89,964,003,600/194,432.50
  6. Step 6: Final answer
    x = 462,700.44

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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.