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Finding the Third Proportional to 153,851 and 332,305

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Solution

The third proportional to 153,851 and 332,305 is: 717,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,851 : 332,305 = 332,305 : x
  2. Step 2: Convert to fraction form
    153,851/332,305 = 332,305/x
  3. Step 3: Cross multiply
    153,851x = 332,305 × 332,305
  4. Step 4: Simplify right side
    153,851x = 110,426,613,025
  5. Step 5: Solve for x
    x = 110,426,613,025/153,851
  6. Step 6: Final answer
    x = 717,750.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.