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Finding the Third Proportional to 153,344 and 335,296

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Solution

The third proportional to 153,344 and 335,296 is: 733,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,344 : 335,296 = 335,296 : x
  2. Step 2: Convert to fraction form
    153,344/335,296 = 335,296/x
  3. Step 3: Cross multiply
    153,344x = 335,296 × 335,296
  4. Step 4: Simplify right side
    153,344x = 112,423,407,616
  5. Step 5: Solve for x
    x = 112,423,407,616/153,344
  6. Step 6: Final answer
    x = 733,145.14

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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.