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Finding the Third Proportional to 245,946.38 and 374,022.56

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Solution

The third proportional to 245,946.38 and 374,022.56 is: 568,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,946.38 : 374,022.56 = 374,022.56 : x
  2. Step 2: Convert to fraction form
    245,946.38/374,022.56 = 374,022.56/x
  3. Step 3: Cross multiply
    245,946.38x = 374,022.56 × 374,022.56
  4. Step 4: Simplify right side
    245,946.38x = 139,892,877,259.07
  5. Step 5: Solve for x
    x = 139,892,877,259.07/245,946.38
  6. Step 6: Final answer
    x = 568,794.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.