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Finding the Third Proportional to 116,623.13 and 174,900.38

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Solution

The third proportional to 116,623.13 and 174,900.38 is: 262,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,623.13 : 174,900.38 = 174,900.38 : x
  2. Step 2: Convert to fraction form
    116,623.13/174,900.38 = 174,900.38/x
  3. Step 3: Cross multiply
    116,623.13x = 174,900.38 × 174,900.38
  4. Step 4: Simplify right side
    116,623.13x = 30,590,141,175.14
  5. Step 5: Solve for x
    x = 30,590,141,175.14/116,623.13
  6. Step 6: Final answer
    x = 262,299.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.