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Finding the Third Proportional to 133,099 and 288,332

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Solution

The third proportional to 133,099 and 288,332 is: 624,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,099 : 288,332 = 288,332 : x
  2. Step 2: Convert to fraction form
    133,099/288,332 = 288,332/x
  3. Step 3: Cross multiply
    133,099x = 288,332 × 288,332
  4. Step 4: Simplify right side
    133,099x = 83,135,342,224
  5. Step 5: Solve for x
    x = 83,135,342,224/133,099
  6. Step 6: Final answer
    x = 624,612.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.