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Finding the Third Proportional to 153,453 and 333,149

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Solution

The third proportional to 153,453 and 333,149 is: 723,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,453 : 333,149 = 333,149 : x
  2. Step 2: Convert to fraction form
    153,453/333,149 = 333,149/x
  3. Step 3: Cross multiply
    153,453x = 333,149 × 333,149
  4. Step 4: Simplify right side
    153,453x = 110,988,256,201
  5. Step 5: Solve for x
    x = 110,988,256,201/153,453
  6. Step 6: Final answer
    x = 723,271.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.