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Finding the Third Proportional to 203,695.50 and 299,301

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Solution

The third proportional to 203,695.50 and 299,301 is: 439,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,695.50 : 299,301 = 299,301 : x
  2. Step 2: Convert to fraction form
    203,695.50/299,301 = 299,301/x
  3. Step 3: Cross multiply
    203,695.50x = 299,301 × 299,301
  4. Step 4: Simplify right side
    203,695.50x = 89,581,088,601
  5. Step 5: Solve for x
    x = 89,581,088,601/203,695.50
  6. Step 6: Final answer
    x = 439,779.42

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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.