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Finding the Third Proportional to 163,960.88 and 358,297.88

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Solution

The third proportional to 163,960.88 and 358,297.88 is: 782,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,960.88 : 358,297.88 = 358,297.88 : x
  2. Step 2: Convert to fraction form
    163,960.88/358,297.88 = 358,297.88/x
  3. Step 3: Cross multiply
    163,960.88x = 358,297.88 × 358,297.88
  4. Step 4: Simplify right side
    163,960.88x = 128,377,367,229.52
  5. Step 5: Solve for x
    x = 128,377,367,229.52/163,960.88
  6. Step 6: Final answer
    x = 782,975.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.