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Finding the Third Proportional to 133,043 and 210,644

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Solution

The third proportional to 133,043 and 210,644 is: 333,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043 : 210,644 = 210,644 : x
  2. Step 2: Convert to fraction form
    133,043/210,644 = 210,644/x
  3. Step 3: Cross multiply
    133,043x = 210,644 × 210,644
  4. Step 4: Simplify right side
    133,043x = 44,370,894,736
  5. Step 5: Solve for x
    x = 44,370,894,736/133,043
  6. Step 6: Final answer
    x = 333,507.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.