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Finding the Third Proportional to 203,509 and 299,165.50

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Solution

The third proportional to 203,509 and 299,165.50 is: 439,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,509 : 299,165.50 = 299,165.50 : x
  2. Step 2: Convert to fraction form
    203,509/299,165.50 = 299,165.50/x
  3. Step 3: Cross multiply
    203,509x = 299,165.50 × 299,165.50
  4. Step 4: Simplify right side
    203,509x = 89,499,996,390.25
  5. Step 5: Solve for x
    x = 89,499,996,390.25/203,509
  6. Step 6: Final answer
    x = 439,783.97

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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.