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Finding the Third Proportional to 132,372 and 310,158

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Solution

The third proportional to 132,372 and 310,158 is: 726,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,372 : 310,158 = 310,158 : x
  2. Step 2: Convert to fraction form
    132,372/310,158 = 310,158/x
  3. Step 3: Cross multiply
    132,372x = 310,158 × 310,158
  4. Step 4: Simplify right side
    132,372x = 96,197,984,964
  5. Step 5: Solve for x
    x = 96,197,984,964/132,372
  6. Step 6: Final answer
    x = 726,724.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.