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Finding the Third Proportional to 113,426 and 231,460

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Solution

The third proportional to 113,426 and 231,460 is: 472,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,426 : 231,460 = 231,460 : x
  2. Step 2: Convert to fraction form
    113,426/231,460 = 231,460/x
  3. Step 3: Cross multiply
    113,426x = 231,460 × 231,460
  4. Step 4: Simplify right side
    113,426x = 53,573,731,600
  5. Step 5: Solve for x
    x = 53,573,731,600/113,426
  6. Step 6: Final answer
    x = 472,323.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.