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Finding the Third Proportional to 153,805 and 337,852

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Solution

The third proportional to 153,805 and 337,852 is: 742,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,805 : 337,852 = 337,852 : x
  2. Step 2: Convert to fraction form
    153,805/337,852 = 337,852/x
  3. Step 3: Cross multiply
    153,805x = 337,852 × 337,852
  4. Step 4: Simplify right side
    153,805x = 114,143,973,904
  5. Step 5: Solve for x
    x = 114,143,973,904/153,805
  6. Step 6: Final answer
    x = 742,134.35

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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.