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Finding the Third Proportional to 203,537 and 299,208

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Solution

The third proportional to 203,537 and 299,208 is: 439,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,537 : 299,208 = 299,208 : x
  2. Step 2: Convert to fraction form
    203,537/299,208 = 299,208/x
  3. Step 3: Cross multiply
    203,537x = 299,208 × 299,208
  4. Step 4: Simplify right side
    203,537x = 89,525,427,264
  5. Step 5: Solve for x
    x = 89,525,427,264/203,537
  6. Step 6: Final answer
    x = 439,848.42

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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.