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Finding the Third Proportional to 182,291.06 and 285,309.84

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Solution

The third proportional to 182,291.06 and 285,309.84 is: 446,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,291.06 : 285,309.84 = 285,309.84 : x
  2. Step 2: Convert to fraction form
    182,291.06/285,309.84 = 285,309.84/x
  3. Step 3: Cross multiply
    182,291.06x = 285,309.84 × 285,309.84
  4. Step 4: Simplify right side
    182,291.06x = 81,401,706,940.65
  5. Step 5: Solve for x
    x = 81,401,706,940.65/182,291.06
  6. Step 6: Final answer
    x = 446,547.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.