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Finding the Third Proportional to 171,663.75 and 373,829.25

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Solution

The third proportional to 171,663.75 and 373,829.25 is: 814,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,663.75 : 373,829.25 = 373,829.25 : x
  2. Step 2: Convert to fraction form
    171,663.75/373,829.25 = 373,829.25/x
  3. Step 3: Cross multiply
    171,663.75x = 373,829.25 × 373,829.25
  4. Step 4: Simplify right side
    171,663.75x = 139,748,308,155.56
  5. Step 5: Solve for x
    x = 139,748,308,155.56/171,663.75
  6. Step 6: Final answer
    x = 814,081.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.