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Finding the Third Proportional to 153,553 and 332,258

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Solution

The third proportional to 153,553 and 332,258 is: 718,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,553 : 332,258 = 332,258 : x
  2. Step 2: Convert to fraction form
    153,553/332,258 = 332,258/x
  3. Step 3: Cross multiply
    153,553x = 332,258 × 332,258
  4. Step 4: Simplify right side
    153,553x = 110,395,378,564
  5. Step 5: Solve for x
    x = 110,395,378,564/153,553
  6. Step 6: Final answer
    x = 718,939.90

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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.