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Finding the Third Proportional to 191,504 and 303,097

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Solution

The third proportional to 191,504 and 303,097 is: 479,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,504 : 303,097 = 303,097 : x
  2. Step 2: Convert to fraction form
    191,504/303,097 = 303,097/x
  3. Step 3: Cross multiply
    191,504x = 303,097 × 303,097
  4. Step 4: Simplify right side
    191,504x = 91,867,791,409
  5. Step 5: Solve for x
    x = 91,867,791,409/191,504
  6. Step 6: Final answer
    x = 479,717.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.