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Finding the Third Proportional to 73,322 and 159,808

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Solution

The third proportional to 73,322 and 159,808 is: 348,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,322 : 159,808 = 159,808 : x
  2. Step 2: Convert to fraction form
    73,322/159,808 = 159,808/x
  3. Step 3: Cross multiply
    73,322x = 159,808 × 159,808
  4. Step 4: Simplify right side
    73,322x = 25,538,596,864
  5. Step 5: Solve for x
    x = 25,538,596,864/73,322
  6. Step 6: Final answer
    x = 348,307.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.