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Finding the Third Proportional to 224,042.50 and 354,932.50

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Solution

The third proportional to 224,042.50 and 354,932.50 is: 562,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,042.50 : 354,932.50 = 354,932.50 : x
  2. Step 2: Convert to fraction form
    224,042.50/354,932.50 = 354,932.50/x
  3. Step 3: Cross multiply
    224,042.50x = 354,932.50 × 354,932.50
  4. Step 4: Simplify right side
    224,042.50x = 125,977,079,556.25
  5. Step 5: Solve for x
    x = 125,977,079,556.25/224,042.50
  6. Step 6: Final answer
    x = 562,290.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.