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Finding the Third Proportional to 111,681 and 238,944

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Solution

The third proportional to 111,681 and 238,944 is: 511,226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,681 : 238,944 = 238,944 : x
  2. Step 2: Convert to fraction form
    111,681/238,944 = 238,944/x
  3. Step 3: Cross multiply
    111,681x = 238,944 × 238,944
  4. Step 4: Simplify right side
    111,681x = 57,094,235,136
  5. Step 5: Solve for x
    x = 57,094,235,136/111,681
  6. Step 6: Final answer
    x = 511,226.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.