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Finding the Third Proportional to 180,208 and 371,840

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Solution

The third proportional to 180,208 and 371,840 is: 767,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,208 : 371,840 = 371,840 : x
  2. Step 2: Convert to fraction form
    180,208/371,840 = 371,840/x
  3. Step 3: Cross multiply
    180,208x = 371,840 × 371,840
  4. Step 4: Simplify right side
    180,208x = 138,264,985,600
  5. Step 5: Solve for x
    x = 138,264,985,600/180,208
  6. Step 6: Final answer
    x = 767,252.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.