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Finding the Third Proportional to 164,899.13 and 252,681.19

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Solution

The third proportional to 164,899.13 and 252,681.19 is: 387,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,899.13 : 252,681.19 = 252,681.19 : x
  2. Step 2: Convert to fraction form
    164,899.13/252,681.19 = 252,681.19/x
  3. Step 3: Cross multiply
    164,899.13x = 252,681.19 × 252,681.19
  4. Step 4: Simplify right side
    164,899.13x = 63,847,782,516.41
  5. Step 5: Solve for x
    x = 63,847,782,516.41/164,899.13
  6. Step 6: Final answer
    x = 387,192.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.