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Finding the Third Proportional to 169,504 and 371,570

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Solution

The third proportional to 169,504 and 371,570 is: 814,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,504 : 371,570 = 371,570 : x
  2. Step 2: Convert to fraction form
    169,504/371,570 = 371,570/x
  3. Step 3: Cross multiply
    169,504x = 371,570 × 371,570
  4. Step 4: Simplify right side
    169,504x = 138,064,264,900
  5. Step 5: Solve for x
    x = 138,064,264,900/169,504
  6. Step 6: Final answer
    x = 814,519.21

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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.