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Finding the Third Proportional to 133,049 and 288,702

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Solution

The third proportional to 133,049 and 288,702 is: 626,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,049 : 288,702 = 288,702 : x
  2. Step 2: Convert to fraction form
    133,049/288,702 = 288,702/x
  3. Step 3: Cross multiply
    133,049x = 288,702 × 288,702
  4. Step 4: Simplify right side
    133,049x = 83,348,844,804
  5. Step 5: Solve for x
    x = 83,348,844,804/133,049
  6. Step 6: Final answer
    x = 626,452.25

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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.