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Finding the Third Proportional to 150,746 and 313,897

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Solution

The third proportional to 150,746 and 313,897 is: 653,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,746 : 313,897 = 313,897 : x
  2. Step 2: Convert to fraction form
    150,746/313,897 = 313,897/x
  3. Step 3: Cross multiply
    150,746x = 313,897 × 313,897
  4. Step 4: Simplify right side
    150,746x = 98,531,326,609
  5. Step 5: Solve for x
    x = 98,531,326,609/150,746
  6. Step 6: Final answer
    x = 653,624.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.