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Finding the Third Proportional to 170,896.50 and 373,971

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Solution

The third proportional to 170,896.50 and 373,971 is: 818,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,896.50 : 373,971 = 373,971 : x
  2. Step 2: Convert to fraction form
    170,896.50/373,971 = 373,971/x
  3. Step 3: Cross multiply
    170,896.50x = 373,971 × 373,971
  4. Step 4: Simplify right side
    170,896.50x = 139,854,308,841
  5. Step 5: Solve for x
    x = 139,854,308,841/170,896.50
  6. Step 6: Final answer
    x = 818,356.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.