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Finding the Third Proportional to 113,554.69 and 176,328.84

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Solution

The third proportional to 113,554.69 and 176,328.84 is: 273,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,554.69 : 176,328.84 = 176,328.84 : x
  2. Step 2: Convert to fraction form
    113,554.69/176,328.84 = 176,328.84/x
  3. Step 3: Cross multiply
    113,554.69x = 176,328.84 × 176,328.84
  4. Step 4: Simplify right side
    113,554.69x = 31,091,861,138.21
  5. Step 5: Solve for x
    x = 31,091,861,138.21/113,554.69
  6. Step 6: Final answer
    x = 273,805.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.