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Finding the Third Proportional to 142,826.63 and 209,820.38

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Solution

The third proportional to 142,826.63 and 209,820.38 is: 308,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,826.63 : 209,820.38 = 209,820.38 : x
  2. Step 2: Convert to fraction form
    142,826.63/209,820.38 = 209,820.38/x
  3. Step 3: Cross multiply
    142,826.63x = 209,820.38 × 209,820.38
  4. Step 4: Simplify right side
    142,826.63x = 44,024,589,765.14
  5. Step 5: Solve for x
    x = 44,024,589,765.14/142,826.63
  6. Step 6: Final answer
    x = 308,237.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.