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Finding the Third Proportional to 118,329.50 and 260,324

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Solution

The third proportional to 118,329.50 and 260,324 is: 572,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,329.50 : 260,324 = 260,324 : x
  2. Step 2: Convert to fraction form
    118,329.50/260,324 = 260,324/x
  3. Step 3: Cross multiply
    118,329.50x = 260,324 × 260,324
  4. Step 4: Simplify right side
    118,329.50x = 67,768,584,976
  5. Step 5: Solve for x
    x = 67,768,584,976/118,329.50
  6. Step 6: Final answer
    x = 572,710.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.