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Finding the Third Proportional to 146,415 and 317,775

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Solution

The third proportional to 146,415 and 317,775 is: 689,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,415 : 317,775 = 317,775 : x
  2. Step 2: Convert to fraction form
    146,415/317,775 = 317,775/x
  3. Step 3: Cross multiply
    146,415x = 317,775 × 317,775
  4. Step 4: Simplify right side
    146,415x = 100,980,950,625
  5. Step 5: Solve for x
    x = 100,980,950,625/146,415
  6. Step 6: Final answer
    x = 689,689.93

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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.