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Finding the Third Proportional to 132,032 and 288,148

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Solution

The third proportional to 132,032 and 288,148 is: 628,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,032 : 288,148 = 288,148 : x
  2. Step 2: Convert to fraction form
    132,032/288,148 = 288,148/x
  3. Step 3: Cross multiply
    132,032x = 288,148 × 288,148
  4. Step 4: Simplify right side
    132,032x = 83,029,269,904
  5. Step 5: Solve for x
    x = 83,029,269,904/132,032
  6. Step 6: Final answer
    x = 628,857.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.