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Finding the Third Proportional to 132,534.75 and 294,458.25

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Solution

The third proportional to 132,534.75 and 294,458.25 is: 654,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,534.75 : 294,458.25 = 294,458.25 : x
  2. Step 2: Convert to fraction form
    132,534.75/294,458.25 = 294,458.25/x
  3. Step 3: Cross multiply
    132,534.75x = 294,458.25 × 294,458.25
  4. Step 4: Simplify right side
    132,534.75x = 86,705,660,993.06
  5. Step 5: Solve for x
    x = 86,705,660,993.06/132,534.75
  6. Step 6: Final answer
    x = 654,210.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.