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Finding the Third Proportional to 182,098.50 and 285,659.63

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Solution

The third proportional to 182,098.50 and 285,659.63 is: 448,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,098.50 : 285,659.63 = 285,659.63 : x
  2. Step 2: Convert to fraction form
    182,098.50/285,659.63 = 285,659.63/x
  3. Step 3: Cross multiply
    182,098.50x = 285,659.63 × 285,659.63
  4. Step 4: Simplify right side
    182,098.50x = 81,601,421,355.14
  5. Step 5: Solve for x
    x = 81,601,421,355.14/182,098.50
  6. Step 6: Final answer
    x = 448,116.93

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Why These Related Problems?

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