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Finding the Third Proportional to 141,965 and 288,101

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Solution

The third proportional to 141,965 and 288,101 is: 584,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,965 : 288,101 = 288,101 : x
  2. Step 2: Convert to fraction form
    141,965/288,101 = 288,101/x
  3. Step 3: Cross multiply
    141,965x = 288,101 × 288,101
  4. Step 4: Simplify right side
    141,965x = 83,002,186,201
  5. Step 5: Solve for x
    x = 83,002,186,201/141,965
  6. Step 6: Final answer
    x = 584,666.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.