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Finding the Third Proportional to 114,248 and 238,840

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Solution

The third proportional to 114,248 and 238,840 is: 499,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,248 : 238,840 = 238,840 : x
  2. Step 2: Convert to fraction form
    114,248/238,840 = 238,840/x
  3. Step 3: Cross multiply
    114,248x = 238,840 × 238,840
  4. Step 4: Simplify right side
    114,248x = 57,044,545,600
  5. Step 5: Solve for x
    x = 57,044,545,600/114,248
  6. Step 6: Final answer
    x = 499,304.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.