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Finding the Third Proportional to 176,377.50 and 416,292.75

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Solution

The third proportional to 176,377.50 and 416,292.75 is: 982,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,377.50 : 416,292.75 = 416,292.75 : x
  2. Step 2: Convert to fraction form
    176,377.50/416,292.75 = 416,292.75/x
  3. Step 3: Cross multiply
    176,377.50x = 416,292.75 × 416,292.75
  4. Step 4: Simplify right side
    176,377.50x = 173,299,653,702.56
  5. Step 5: Solve for x
    x = 173,299,653,702.56/176,377.50
  6. Step 6: Final answer
    x = 982,549.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.