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Finding the Third Proportional to 111,582 and 234,642

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Solution

The third proportional to 111,582 and 234,642 is: 493,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,582 : 234,642 = 234,642 : x
  2. Step 2: Convert to fraction form
    111,582/234,642 = 234,642/x
  3. Step 3: Cross multiply
    111,582x = 234,642 × 234,642
  4. Step 4: Simplify right side
    111,582x = 55,056,868,164
  5. Step 5: Solve for x
    x = 55,056,868,164/111,582
  6. Step 6: Final answer
    x = 493,420.70

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