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Finding the Third Proportional to 141,504 and 305,136

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Solution

The third proportional to 141,504 and 305,136 is: 657,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,504 : 305,136 = 305,136 : x
  2. Step 2: Convert to fraction form
    141,504/305,136 = 305,136/x
  3. Step 3: Cross multiply
    141,504x = 305,136 × 305,136
  4. Step 4: Simplify right side
    141,504x = 93,107,978,496
  5. Step 5: Solve for x
    x = 93,107,978,496/141,504
  6. Step 6: Final answer
    x = 657,988.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.