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Finding the Third Proportional to 77,920.50 and 168,294

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Solution

The third proportional to 77,920.50 and 168,294 is: 363,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,920.50 : 168,294 = 168,294 : x
  2. Step 2: Convert to fraction form
    77,920.50/168,294 = 168,294/x
  3. Step 3: Cross multiply
    77,920.50x = 168,294 × 168,294
  4. Step 4: Simplify right side
    77,920.50x = 28,322,870,436
  5. Step 5: Solve for x
    x = 28,322,870,436/77,920.50
  6. Step 6: Final answer
    x = 363,484.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.