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Finding the Third Proportional to 132,883 and 201,783

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Solution

The third proportional to 132,883 and 201,783 is: 306,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,883 : 201,783 = 201,783 : x
  2. Step 2: Convert to fraction form
    132,883/201,783 = 201,783/x
  3. Step 3: Cross multiply
    132,883x = 201,783 × 201,783
  4. Step 4: Simplify right side
    132,883x = 40,716,379,089
  5. Step 5: Solve for x
    x = 40,716,379,089/132,883
  6. Step 6: Final answer
    x = 306,407.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.