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Finding the Third Proportional to 172,476.75 and 377,016

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Solution

The third proportional to 172,476.75 and 377,016 is: 824,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,476.75 : 377,016 = 377,016 : x
  2. Step 2: Convert to fraction form
    172,476.75/377,016 = 377,016/x
  3. Step 3: Cross multiply
    172,476.75x = 377,016 × 377,016
  4. Step 4: Simplify right side
    172,476.75x = 142,141,064,256
  5. Step 5: Solve for x
    x = 142,141,064,256/172,476.75
  6. Step 6: Final answer
    x = 824,117.25

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