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Finding the Third Proportional to 133,060 and 287,443

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Solution

The third proportional to 133,060 and 287,443 is: 620,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,060 : 287,443 = 287,443 : x
  2. Step 2: Convert to fraction form
    133,060/287,443 = 287,443/x
  3. Step 3: Cross multiply
    133,060x = 287,443 × 287,443
  4. Step 4: Simplify right side
    133,060x = 82,623,478,249
  5. Step 5: Solve for x
    x = 82,623,478,249/133,060
  6. Step 6: Final answer
    x = 620,949.03

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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.