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Finding the Third Proportional to 132,264 and 293,955

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Solution

The third proportional to 132,264 and 293,955 is: 653,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,264 : 293,955 = 293,955 : x
  2. Step 2: Convert to fraction form
    132,264/293,955 = 293,955/x
  3. Step 3: Cross multiply
    132,264x = 293,955 × 293,955
  4. Step 4: Simplify right side
    132,264x = 86,409,542,025
  5. Step 5: Solve for x
    x = 86,409,542,025/132,264
  6. Step 6: Final answer
    x = 653,311.12

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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.