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Finding the Third Proportional to 97,731 and 232,654.50

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Solution

The third proportional to 97,731 and 232,654.50 is: 553,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,731 : 232,654.50 = 232,654.50 : x
  2. Step 2: Convert to fraction form
    97,731/232,654.50 = 232,654.50/x
  3. Step 3: Cross multiply
    97,731x = 232,654.50 × 232,654.50
  4. Step 4: Simplify right side
    97,731x = 54,128,116,370.25
  5. Step 5: Solve for x
    x = 54,128,116,370.25/97,731
  6. Step 6: Final answer
    x = 553,847.97

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.