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Finding the Third Proportional to 141,984 and 201,816

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Solution

The third proportional to 141,984 and 201,816 is: 286,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,984 : 201,816 = 201,816 : x
  2. Step 2: Convert to fraction form
    141,984/201,816 = 201,816/x
  3. Step 3: Cross multiply
    141,984x = 201,816 × 201,816
  4. Step 4: Simplify right side
    141,984x = 40,729,697,856
  5. Step 5: Solve for x
    x = 40,729,697,856/141,984
  6. Step 6: Final answer
    x = 286,861.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.