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Finding the Third Proportional to 141,320 and 303,114

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Solution

The third proportional to 141,320 and 303,114 is: 650,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,320 : 303,114 = 303,114 : x
  2. Step 2: Convert to fraction form
    141,320/303,114 = 303,114/x
  3. Step 3: Cross multiply
    141,320x = 303,114 × 303,114
  4. Step 4: Simplify right side
    141,320x = 91,878,096,996
  5. Step 5: Solve for x
    x = 91,878,096,996/141,320
  6. Step 6: Final answer
    x = 650,142.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.