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Finding the Third Proportional to 115,434.50 and 177,313

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Solution

The third proportional to 115,434.50 and 177,313 is: 272,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,434.50 : 177,313 = 177,313 : x
  2. Step 2: Convert to fraction form
    115,434.50/177,313 = 177,313/x
  3. Step 3: Cross multiply
    115,434.50x = 177,313 × 177,313
  4. Step 4: Simplify right side
    115,434.50x = 31,439,899,969
  5. Step 5: Solve for x
    x = 31,439,899,969/115,434.50
  6. Step 6: Final answer
    x = 272,361.38

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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.