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Finding the Third Proportional to 132,657.75 and 210,054.38

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Solution

The third proportional to 132,657.75 and 210,054.38 is: 332,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,657.75 : 210,054.38 = 210,054.38 : x
  2. Step 2: Convert to fraction form
    132,657.75/210,054.38 = 210,054.38/x
  3. Step 3: Cross multiply
    132,657.75x = 210,054.38 × 210,054.38
  4. Step 4: Simplify right side
    132,657.75x = 44,122,840,456.64
  5. Step 5: Solve for x
    x = 44,122,840,456.64/132,657.75
  6. Step 6: Final answer
    x = 332,606.58

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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.