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Finding the Third Proportional to 73,822 and 173,308

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Solution

The third proportional to 73,822 and 173,308 is: 406,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,822 : 173,308 = 173,308 : x
  2. Step 2: Convert to fraction form
    73,822/173,308 = 173,308/x
  3. Step 3: Cross multiply
    73,822x = 173,308 × 173,308
  4. Step 4: Simplify right side
    73,822x = 30,035,662,864
  5. Step 5: Solve for x
    x = 30,035,662,864/73,822
  6. Step 6: Final answer
    x = 406,866.01

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.