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Finding the Third Proportional to 115,176.75 and 176,433

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Solution

The third proportional to 115,176.75 and 176,433 is: 270,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,176.75 : 176,433 = 176,433 : x
  2. Step 2: Convert to fraction form
    115,176.75/176,433 = 176,433/x
  3. Step 3: Cross multiply
    115,176.75x = 176,433 × 176,433
  4. Step 4: Simplify right side
    115,176.75x = 31,128,603,489
  5. Step 5: Solve for x
    x = 31,128,603,489/115,176.75
  6. Step 6: Final answer
    x = 270,268.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.