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Finding the Third Proportional to 110,948 and 238,480

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Solution

The third proportional to 110,948 and 238,480 is: 512,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,948 : 238,480 = 238,480 : x
  2. Step 2: Convert to fraction form
    110,948/238,480 = 238,480/x
  3. Step 3: Cross multiply
    110,948x = 238,480 × 238,480
  4. Step 4: Simplify right side
    110,948x = 56,872,710,400
  5. Step 5: Solve for x
    x = 56,872,710,400/110,948
  6. Step 6: Final answer
    x = 512,606.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.