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Finding the Third Proportional to 153,774 and 337,818

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Solution

The third proportional to 153,774 and 337,818 is: 742,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,774 : 337,818 = 337,818 : x
  2. Step 2: Convert to fraction form
    153,774/337,818 = 337,818/x
  3. Step 3: Cross multiply
    153,774x = 337,818 × 337,818
  4. Step 4: Simplify right side
    153,774x = 114,121,001,124
  5. Step 5: Solve for x
    x = 114,121,001,124/153,774
  6. Step 6: Final answer
    x = 742,134.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.