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Finding the Third Proportional to 117,552.75 and 176,328

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Solution

The third proportional to 117,552.75 and 176,328 is: 264,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,552.75 : 176,328 = 176,328 : x
  2. Step 2: Convert to fraction form
    117,552.75/176,328 = 176,328/x
  3. Step 3: Cross multiply
    117,552.75x = 176,328 × 176,328
  4. Step 4: Simplify right side
    117,552.75x = 31,091,563,584
  5. Step 5: Solve for x
    x = 31,091,563,584/117,552.75
  6. Step 6: Final answer
    x = 264,490.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.