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Finding the Third Proportional to 148,774 and 208,089

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Solution

The third proportional to 148,774 and 208,089 is: 291,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,774 : 208,089 = 208,089 : x
  2. Step 2: Convert to fraction form
    148,774/208,089 = 208,089/x
  3. Step 3: Cross multiply
    148,774x = 208,089 × 208,089
  4. Step 4: Simplify right side
    148,774x = 43,301,031,921
  5. Step 5: Solve for x
    x = 43,301,031,921/148,774
  6. Step 6: Final answer
    x = 291,052.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.