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Finding the Third Proportional to 113,604.19 and 238,960.13

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Solution

The third proportional to 113,604.19 and 238,960.13 is: 502,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,604.19 : 238,960.13 = 238,960.13 : x
  2. Step 2: Convert to fraction form
    113,604.19/238,960.13 = 238,960.13/x
  3. Step 3: Cross multiply
    113,604.19x = 238,960.13 × 238,960.13
  4. Step 4: Simplify right side
    113,604.19x = 57,101,941,340.02
  5. Step 5: Solve for x
    x = 57,101,941,340.02/113,604.19
  6. Step 6: Final answer
    x = 502,639.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.