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Finding the Third Proportional to 191,974.50 and 301,569.75

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Solution

The third proportional to 191,974.50 and 301,569.75 is: 473,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,974.50 : 301,569.75 = 301,569.75 : x
  2. Step 2: Convert to fraction form
    191,974.50/301,569.75 = 301,569.75/x
  3. Step 3: Cross multiply
    191,974.50x = 301,569.75 × 301,569.75
  4. Step 4: Simplify right side
    191,974.50x = 90,944,314,115.06
  5. Step 5: Solve for x
    x = 90,944,314,115.06/191,974.50
  6. Step 6: Final answer
    x = 473,731.22

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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.