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Finding the Third Proportional to 110,324.53 and 238,145.06

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Solution

The third proportional to 110,324.53 and 238,145.06 is: 514,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,324.53 : 238,145.06 = 238,145.06 : x
  2. Step 2: Convert to fraction form
    110,324.53/238,145.06 = 238,145.06/x
  3. Step 3: Cross multiply
    110,324.53x = 238,145.06 × 238,145.06
  4. Step 4: Simplify right side
    110,324.53x = 56,713,070,793.13
  5. Step 5: Solve for x
    x = 56,713,070,793.13/110,324.53
  6. Step 6: Final answer
    x = 514,056.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.