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Finding the Third Proportional to 163,733.50 and 352,367

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Solution

The third proportional to 163,733.50 and 352,367 is: 758,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,733.50 : 352,367 = 352,367 : x
  2. Step 2: Convert to fraction form
    163,733.50/352,367 = 352,367/x
  3. Step 3: Cross multiply
    163,733.50x = 352,367 × 352,367
  4. Step 4: Simplify right side
    163,733.50x = 124,162,502,689
  5. Step 5: Solve for x
    x = 124,162,502,689/163,733.50
  6. Step 6: Final answer
    x = 758,320.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.