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Finding the Third Proportional to 225,991.75 and 341,903.50

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Solution

The third proportional to 225,991.75 and 341,903.50 is: 517,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,991.75 : 341,903.50 = 341,903.50 : x
  2. Step 2: Convert to fraction form
    225,991.75/341,903.50 = 341,903.50/x
  3. Step 3: Cross multiply
    225,991.75x = 341,903.50 × 341,903.50
  4. Step 4: Simplify right side
    225,991.75x = 116,898,003,312.25
  5. Step 5: Solve for x
    x = 116,898,003,312.25/225,991.75
  6. Step 6: Final answer
    x = 517,266.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.