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Finding the Third Proportional to 132,372 and 288,040

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Solution

The third proportional to 132,372 and 288,040 is: 626,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,372 : 288,040 = 288,040 : x
  2. Step 2: Convert to fraction form
    132,372/288,040 = 288,040/x
  3. Step 3: Cross multiply
    132,372x = 288,040 × 288,040
  4. Step 4: Simplify right side
    132,372x = 82,967,041,600
  5. Step 5: Solve for x
    x = 82,967,041,600/132,372
  6. Step 6: Final answer
    x = 626,771.84

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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.