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Finding the Third Proportional to 203,973.50 and 286,733

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Solution

The third proportional to 203,973.50 and 286,733 is: 403,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,973.50 : 286,733 = 286,733 : x
  2. Step 2: Convert to fraction form
    203,973.50/286,733 = 286,733/x
  3. Step 3: Cross multiply
    203,973.50x = 286,733 × 286,733
  4. Step 4: Simplify right side
    203,973.50x = 82,215,813,289
  5. Step 5: Solve for x
    x = 82,215,813,289/203,973.50
  6. Step 6: Final answer
    x = 403,071.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.