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Finding the Third Proportional to 153,803.25 and 337,851

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Solution

The third proportional to 153,803.25 and 337,851 is: 742,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,803.25 : 337,851 = 337,851 : x
  2. Step 2: Convert to fraction form
    153,803.25/337,851 = 337,851/x
  3. Step 3: Cross multiply
    153,803.25x = 337,851 × 337,851
  4. Step 4: Simplify right side
    153,803.25x = 114,143,298,201
  5. Step 5: Solve for x
    x = 114,143,298,201/153,803.25
  6. Step 6: Final answer
    x = 742,138.40

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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.