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Finding the Third Proportional to 171,897 and 373,376.25

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Solution

The third proportional to 171,897 and 373,376.25 is: 811,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,897 : 373,376.25 = 373,376.25 : x
  2. Step 2: Convert to fraction form
    171,897/373,376.25 = 373,376.25/x
  3. Step 3: Cross multiply
    171,897x = 373,376.25 × 373,376.25
  4. Step 4: Simplify right side
    171,897x = 139,409,824,064.06
  5. Step 5: Solve for x
    x = 139,409,824,064.06/171,897
  6. Step 6: Final answer
    x = 811,007.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.