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Finding the Third Proportional to 203,565 and 299,262

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Solution

The third proportional to 203,565 and 299,262 is: 439,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,565 : 299,262 = 299,262 : x
  2. Step 2: Convert to fraction form
    203,565/299,262 = 299,262/x
  3. Step 3: Cross multiply
    203,565x = 299,262 × 299,262
  4. Step 4: Simplify right side
    203,565x = 89,557,744,644
  5. Step 5: Solve for x
    x = 89,557,744,644/203,565
  6. Step 6: Final answer
    x = 439,946.67

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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.