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Finding the Third Proportional to 231,093 and 344,722.50

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Solution

The third proportional to 231,093 and 344,722.50 is: 514,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,093 : 344,722.50 = 344,722.50 : x
  2. Step 2: Convert to fraction form
    231,093/344,722.50 = 344,722.50/x
  3. Step 3: Cross multiply
    231,093x = 344,722.50 × 344,722.50
  4. Step 4: Simplify right side
    231,093x = 118,833,602,006.25
  5. Step 5: Solve for x
    x = 118,833,602,006.25/231,093
  6. Step 6: Final answer
    x = 514,224.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.