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Finding the Third Proportional to 153,813 and 337,869

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Solution

The third proportional to 153,813 and 337,869 is: 742,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,813 : 337,869 = 337,869 : x
  2. Step 2: Convert to fraction form
    153,813/337,869 = 337,869/x
  3. Step 3: Cross multiply
    153,813x = 337,869 × 337,869
  4. Step 4: Simplify right side
    153,813x = 114,155,461,161
  5. Step 5: Solve for x
    x = 114,155,461,161/153,813
  6. Step 6: Final answer
    x = 742,170.44

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