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Finding the Third Proportional to 170,572 and 371,672

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Solution

The third proportional to 170,572 and 371,672 is: 809,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,572 : 371,672 = 371,672 : x
  2. Step 2: Convert to fraction form
    170,572/371,672 = 371,672/x
  3. Step 3: Cross multiply
    170,572x = 371,672 × 371,672
  4. Step 4: Simplify right side
    170,572x = 138,140,075,584
  5. Step 5: Solve for x
    x = 138,140,075,584/170,572
  6. Step 6: Final answer
    x = 809,863.73

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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.