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Finding the Third Proportional to 73,320 and 159,804

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Solution

The third proportional to 73,320 and 159,804 is: 348,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,320 : 159,804 = 159,804 : x
  2. Step 2: Convert to fraction form
    73,320/159,804 = 159,804/x
  3. Step 3: Cross multiply
    73,320x = 159,804 × 159,804
  4. Step 4: Simplify right side
    73,320x = 25,537,318,416
  5. Step 5: Solve for x
    x = 25,537,318,416/73,320
  6. Step 6: Final answer
    x = 348,299.49

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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.