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Finding the Third Proportional to 113,368 and 239,028

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Solution

The third proportional to 113,368 and 239,028 is: 503,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,368 : 239,028 = 239,028 : x
  2. Step 2: Convert to fraction form
    113,368/239,028 = 239,028/x
  3. Step 3: Cross multiply
    113,368x = 239,028 × 239,028
  4. Step 4: Simplify right side
    113,368x = 57,134,384,784
  5. Step 5: Solve for x
    x = 57,134,384,784/113,368
  6. Step 6: Final answer
    x = 503,972.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.