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Finding the Third Proportional to 131,045 and 307,788

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Solution

The third proportional to 131,045 and 307,788 is: 722,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,045 : 307,788 = 307,788 : x
  2. Step 2: Convert to fraction form
    131,045/307,788 = 307,788/x
  3. Step 3: Cross multiply
    131,045x = 307,788 × 307,788
  4. Step 4: Simplify right side
    131,045x = 94,733,452,944
  5. Step 5: Solve for x
    x = 94,733,452,944/131,045
  6. Step 6: Final answer
    x = 722,907.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.