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Finding the Third Proportional to 76,797.50 and 168,358

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Solution

The third proportional to 76,797.50 and 168,358 is: 369,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,797.50 : 168,358 = 168,358 : x
  2. Step 2: Convert to fraction form
    76,797.50/168,358 = 168,358/x
  3. Step 3: Cross multiply
    76,797.50x = 168,358 × 168,358
  4. Step 4: Simplify right side
    76,797.50x = 28,344,416,164
  5. Step 5: Solve for x
    x = 28,344,416,164/76,797.50
  6. Step 6: Final answer
    x = 369,079.93

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