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Finding the Third Proportional to 133,055 and 288,714

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Solution

The third proportional to 133,055 and 288,714 is: 626,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,055 : 288,714 = 288,714 : x
  2. Step 2: Convert to fraction form
    133,055/288,714 = 288,714/x
  3. Step 3: Cross multiply
    133,055x = 288,714 × 288,714
  4. Step 4: Simplify right side
    133,055x = 83,355,773,796
  5. Step 5: Solve for x
    x = 83,355,773,796/133,055
  6. Step 6: Final answer
    x = 626,476.07

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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.