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Finding the Third Proportional to 133,735.88 and 288,537

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Solution

The third proportional to 133,735.88 and 288,537 is: 622,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,735.88 : 288,537 = 288,537 : x
  2. Step 2: Convert to fraction form
    133,735.88/288,537 = 288,537/x
  3. Step 3: Cross multiply
    133,735.88x = 288,537 × 288,537
  4. Step 4: Simplify right side
    133,735.88x = 83,253,600,369
  5. Step 5: Solve for x
    x = 83,253,600,369/133,735.88
  6. Step 6: Final answer
    x = 622,522.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.