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Finding the Third Proportional to 161,696.81 and 351,707.06

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Solution

The third proportional to 161,696.81 and 351,707.06 is: 764,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,696.81 : 351,707.06 = 351,707.06 : x
  2. Step 2: Convert to fraction form
    161,696.81/351,707.06 = 351,707.06/x
  3. Step 3: Cross multiply
    161,696.81x = 351,707.06 × 351,707.06
  4. Step 4: Simplify right side
    161,696.81x = 123,697,857,812.38
  5. Step 5: Solve for x
    x = 123,697,857,812.38/161,696.81
  6. Step 6: Final answer
    x = 764,998.74

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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.