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Finding the Third Proportional to 117,549 and 176,319.75

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Solution

The third proportional to 117,549 and 176,319.75 is: 264,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,549 : 176,319.75 = 176,319.75 : x
  2. Step 2: Convert to fraction form
    117,549/176,319.75 = 176,319.75/x
  3. Step 3: Cross multiply
    117,549x = 176,319.75 × 176,319.75
  4. Step 4: Simplify right side
    117,549x = 31,088,654,240.06
  5. Step 5: Solve for x
    x = 31,088,654,240.06/117,549
  6. Step 6: Final answer
    x = 264,474.00

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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.