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Finding the Third Proportional to 201,530.53 and 286,462.83

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Solution

The third proportional to 201,530.53 and 286,462.83 is: 407,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,530.53 : 286,462.83 = 286,462.83 : x
  2. Step 2: Convert to fraction form
    201,530.53/286,462.83 = 286,462.83/x
  3. Step 3: Cross multiply
    201,530.53x = 286,462.83 × 286,462.83
  4. Step 4: Simplify right side
    201,530.53x = 82,060,951,897.37
  5. Step 5: Solve for x
    x = 82,060,951,897.37/201,530.53
  6. Step 6: Final answer
    x = 407,188.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.