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Finding the Third Proportional to 133,028 and 287,158

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Solution

The third proportional to 133,028 and 287,158 is: 619,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,028 : 287,158 = 287,158 : x
  2. Step 2: Convert to fraction form
    133,028/287,158 = 287,158/x
  3. Step 3: Cross multiply
    133,028x = 287,158 × 287,158
  4. Step 4: Simplify right side
    133,028x = 82,459,716,964
  5. Step 5: Solve for x
    x = 82,459,716,964/133,028
  6. Step 6: Final answer
    x = 619,867.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.