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Finding the Third Proportional to 145,345 and 301,625

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Solution

The third proportional to 145,345 and 301,625 is: 625,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,345 : 301,625 = 301,625 : x
  2. Step 2: Convert to fraction form
    145,345/301,625 = 301,625/x
  3. Step 3: Cross multiply
    145,345x = 301,625 × 301,625
  4. Step 4: Simplify right side
    145,345x = 90,977,640,625
  5. Step 5: Solve for x
    x = 90,977,640,625/145,345
  6. Step 6: Final answer
    x = 625,942.69

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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.