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Finding the Third Proportional to 133,040 and 295,641

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Solution

The third proportional to 133,040 and 295,641 is: 656,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,040 : 295,641 = 295,641 : x
  2. Step 2: Convert to fraction form
    133,040/295,641 = 295,641/x
  3. Step 3: Cross multiply
    133,040x = 295,641 × 295,641
  4. Step 4: Simplify right side
    133,040x = 87,403,600,881
  5. Step 5: Solve for x
    x = 87,403,600,881/133,040
  6. Step 6: Final answer
    x = 656,972.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.