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Finding the Third Proportional to 203,478.50 and 299,335

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Solution

The third proportional to 203,478.50 and 299,335 is: 440,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478.50 : 299,335 = 299,335 : x
  2. Step 2: Convert to fraction form
    203,478.50/299,335 = 299,335/x
  3. Step 3: Cross multiply
    203,478.50x = 299,335 × 299,335
  4. Step 4: Simplify right side
    203,478.50x = 89,601,442,225
  5. Step 5: Solve for x
    x = 89,601,442,225/203,478.50
  6. Step 6: Final answer
    x = 440,348.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.