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Finding the Third Proportional to 111,478 and 238,076

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Solution

The third proportional to 111,478 and 238,076 is: 508,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,478 : 238,076 = 238,076 : x
  2. Step 2: Convert to fraction form
    111,478/238,076 = 238,076/x
  3. Step 3: Cross multiply
    111,478x = 238,076 × 238,076
  4. Step 4: Simplify right side
    111,478x = 56,680,181,776
  5. Step 5: Solve for x
    x = 56,680,181,776/111,478
  6. Step 6: Final answer
    x = 508,442.76

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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.