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Finding the Third Proportional to 153,038 and 330,667

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Solution

The third proportional to 153,038 and 330,667 is: 714,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,038 : 330,667 = 330,667 : x
  2. Step 2: Convert to fraction form
    153,038/330,667 = 330,667/x
  3. Step 3: Cross multiply
    153,038x = 330,667 × 330,667
  4. Step 4: Simplify right side
    153,038x = 109,340,664,889
  5. Step 5: Solve for x
    x = 109,340,664,889/153,038
  6. Step 6: Final answer
    x = 714,467.42

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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.