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Finding the Third Proportional to 173,299.50 and 231,802.50

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Solution

The third proportional to 173,299.50 and 231,802.50 is: 310,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,299.50 : 231,802.50 = 231,802.50 : x
  2. Step 2: Convert to fraction form
    173,299.50/231,802.50 = 231,802.50/x
  3. Step 3: Cross multiply
    173,299.50x = 231,802.50 × 231,802.50
  4. Step 4: Simplify right side
    173,299.50x = 53,732,399,006.25
  5. Step 5: Solve for x
    x = 53,732,399,006.25/173,299.50
  6. Step 6: Final answer
    x = 310,055.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.