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Finding the Third Proportional to 129,752 and 283,588

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Solution

The third proportional to 129,752 and 283,588 is: 619,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,752 : 283,588 = 283,588 : x
  2. Step 2: Convert to fraction form
    129,752/283,588 = 283,588/x
  3. Step 3: Cross multiply
    129,752x = 283,588 × 283,588
  4. Step 4: Simplify right side
    129,752x = 80,422,153,744
  5. Step 5: Solve for x
    x = 80,422,153,744/129,752
  6. Step 6: Final answer
    x = 619,814.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.