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Finding the Third Proportional to 115,433 and 177,310.50

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Solution

The third proportional to 115,433 and 177,310.50 is: 272,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,433 : 177,310.50 = 177,310.50 : x
  2. Step 2: Convert to fraction form
    115,433/177,310.50 = 177,310.50/x
  3. Step 3: Cross multiply
    115,433x = 177,310.50 × 177,310.50
  4. Step 4: Simplify right side
    115,433x = 31,439,013,410.25
  5. Step 5: Solve for x
    x = 31,439,013,410.25/115,433
  6. Step 6: Final answer
    x = 272,357.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.