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Finding the Third Proportional to 174,421.69 and 236,715.19

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Solution

The third proportional to 174,421.69 and 236,715.19 is: 321,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,421.69 : 236,715.19 = 236,715.19 : x
  2. Step 2: Convert to fraction form
    174,421.69/236,715.19 = 236,715.19/x
  3. Step 3: Cross multiply
    174,421.69x = 236,715.19 × 236,715.19
  4. Step 4: Simplify right side
    174,421.69x = 56,034,079,993.16
  5. Step 5: Solve for x
    x = 56,034,079,993.16/174,421.69
  6. Step 6: Final answer
    x = 321,256.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.