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Finding the Third Proportional to 79,857.14 and 175,916.81

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Solution

The third proportional to 79,857.14 and 175,916.81 is: 387,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,857.14 : 175,916.81 = 175,916.81 : x
  2. Step 2: Convert to fraction form
    79,857.14/175,916.81 = 175,916.81/x
  3. Step 3: Cross multiply
    79,857.14x = 175,916.81 × 175,916.81
  4. Step 4: Simplify right side
    79,857.14x = 30,946,724,920.16
  5. Step 5: Solve for x
    x = 30,946,724,920.16/79,857.14
  6. Step 6: Final answer
    x = 387,526.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.