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Finding the Third Proportional to 141,018 and 307,761

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Solution

The third proportional to 141,018 and 307,761 is: 671,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,018 : 307,761 = 307,761 : x
  2. Step 2: Convert to fraction form
    141,018/307,761 = 307,761/x
  3. Step 3: Cross multiply
    141,018x = 307,761 × 307,761
  4. Step 4: Simplify right side
    141,018x = 94,716,833,121
  5. Step 5: Solve for x
    x = 94,716,833,121/141,018
  6. Step 6: Final answer
    x = 671,664.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.