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Finding the Third Proportional to 154,425 and 333,453

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Solution

The third proportional to 154,425 and 333,453 is: 720,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,425 : 333,453 = 333,453 : x
  2. Step 2: Convert to fraction form
    154,425/333,453 = 333,453/x
  3. Step 3: Cross multiply
    154,425x = 333,453 × 333,453
  4. Step 4: Simplify right side
    154,425x = 111,190,903,209
  5. Step 5: Solve for x
    x = 111,190,903,209/154,425
  6. Step 6: Final answer
    x = 720,031.75

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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.