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Finding the Third Proportional to 142,367.63 and 297,826.88

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Solution

The third proportional to 142,367.63 and 297,826.88 is: 623,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,367.63 : 297,826.88 = 297,826.88 : x
  2. Step 2: Convert to fraction form
    142,367.63/297,826.88 = 297,826.88/x
  3. Step 3: Cross multiply
    142,367.63x = 297,826.88 × 297,826.88
  4. Step 4: Simplify right side
    142,367.63x = 88,700,847,472.27
  5. Step 5: Solve for x
    x = 88,700,847,472.27/142,367.63
  6. Step 6: Final answer
    x = 623,040.86

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.