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Finding the Third Proportional to 254,297.81 and 345,358.69

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Solution

The third proportional to 254,297.81 and 345,358.69 is: 469,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,297.81 : 345,358.69 = 345,358.69 : x
  2. Step 2: Convert to fraction form
    254,297.81/345,358.69 = 345,358.69/x
  3. Step 3: Cross multiply
    254,297.81x = 345,358.69 × 345,358.69
  4. Step 4: Simplify right side
    254,297.81x = 119,272,623,031.72
  5. Step 5: Solve for x
    x = 119,272,623,031.72/254,297.81
  6. Step 6: Final answer
    x = 469,027.33

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.