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Finding the Third Proportional to 226,099.50 and 359,905.50

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Solution

The third proportional to 226,099.50 and 359,905.50 is: 572,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,099.50 : 359,905.50 = 359,905.50 : x
  2. Step 2: Convert to fraction form
    226,099.50/359,905.50 = 359,905.50/x
  3. Step 3: Cross multiply
    226,099.50x = 359,905.50 × 359,905.50
  4. Step 4: Simplify right side
    226,099.50x = 129,531,968,930.25
  5. Step 5: Solve for x
    x = 129,531,968,930.25/226,099.50
  6. Step 6: Final answer
    x = 572,898.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.