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Finding the Third Proportional to 182,890.13 and 405,010.13

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Solution

The third proportional to 182,890.13 and 405,010.13 is: 896,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,890.13 : 405,010.13 = 405,010.13 : x
  2. Step 2: Convert to fraction form
    182,890.13/405,010.13 = 405,010.13/x
  3. Step 3: Cross multiply
    182,890.13x = 405,010.13 × 405,010.13
  4. Step 4: Simplify right side
    182,890.13x = 164,033,201,352.52
  5. Step 5: Solve for x
    x = 164,033,201,352.52/182,890.13
  6. Step 6: Final answer
    x = 896,894.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.