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Finding the Third Proportional to 130,896 and 198,774

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Solution

The third proportional to 130,896 and 198,774 is: 301,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,896 : 198,774 = 198,774 : x
  2. Step 2: Convert to fraction form
    130,896/198,774 = 198,774/x
  3. Step 3: Cross multiply
    130,896x = 198,774 × 198,774
  4. Step 4: Simplify right side
    130,896x = 39,511,103,076
  5. Step 5: Solve for x
    x = 39,511,103,076/130,896
  6. Step 6: Final answer
    x = 301,851.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.