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Finding the Third Proportional to 117,034.50 and 176,376

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Solution

The third proportional to 117,034.50 and 176,376 is: 265,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,034.50 : 176,376 = 176,376 : x
  2. Step 2: Convert to fraction form
    117,034.50/176,376 = 176,376/x
  3. Step 3: Cross multiply
    117,034.50x = 176,376 × 176,376
  4. Step 4: Simplify right side
    117,034.50x = 31,108,493,376
  5. Step 5: Solve for x
    x = 31,108,493,376/117,034.50
  6. Step 6: Final answer
    x = 265,806.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.