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Finding the Third Proportional to 118,393.88 and 180,545.63

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Solution

The third proportional to 118,393.88 and 180,545.63 is: 275,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,393.88 : 180,545.63 = 180,545.63 : x
  2. Step 2: Convert to fraction form
    118,393.88/180,545.63 = 180,545.63/x
  3. Step 3: Cross multiply
    118,393.88x = 180,545.63 × 180,545.63
  4. Step 4: Simplify right side
    118,393.88x = 32,596,722,706.64
  5. Step 5: Solve for x
    x = 32,596,722,706.64/118,393.88
  6. Step 6: Final answer
    x = 275,324.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.