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Finding the Third Proportional to 153,968.34 and 337,911.75

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Solution

The third proportional to 153,968.34 and 337,911.75 is: 741,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,968.34 : 337,911.75 = 337,911.75 : x
  2. Step 2: Convert to fraction form
    153,968.34/337,911.75 = 337,911.75/x
  3. Step 3: Cross multiply
    153,968.34x = 337,911.75 × 337,911.75
  4. Step 4: Simplify right side
    153,968.34x = 114,184,350,788.06
  5. Step 5: Solve for x
    x = 114,184,350,788.06/153,968.34
  6. Step 6: Final answer
    x = 741,609.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.