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Finding the Third Proportional to 172,045 and 404,835.50

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Solution

The third proportional to 172,045 and 404,835.50 is: 952,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,045 : 404,835.50 = 404,835.50 : x
  2. Step 2: Convert to fraction form
    172,045/404,835.50 = 404,835.50/x
  3. Step 3: Cross multiply
    172,045x = 404,835.50 × 404,835.50
  4. Step 4: Simplify right side
    172,045x = 163,891,782,060.25
  5. Step 5: Solve for x
    x = 163,891,782,060.25/172,045
  6. Step 6: Final answer
    x = 952,609.97

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.