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Finding the Third Proportional to 140,900.61 and 286,721.96

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Solution

The third proportional to 140,900.61 and 286,721.96 is: 583,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,900.61 : 286,721.96 = 286,721.96 : x
  2. Step 2: Convert to fraction form
    140,900.61/286,721.96 = 286,721.96/x
  3. Step 3: Cross multiply
    140,900.61x = 286,721.96 × 286,721.96
  4. Step 4: Simplify right side
    140,900.61x = 82,209,485,123.86
  5. Step 5: Solve for x
    x = 82,209,485,123.86/140,900.61
  6. Step 6: Final answer
    x = 583,457.28

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.