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Finding the Third Proportional to 169,770 and 373,440

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Solution

The third proportional to 169,770 and 373,440 is: 821,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,770 : 373,440 = 373,440 : x
  2. Step 2: Convert to fraction form
    169,770/373,440 = 373,440/x
  3. Step 3: Cross multiply
    169,770x = 373,440 × 373,440
  4. Step 4: Simplify right side
    169,770x = 139,457,433,600
  5. Step 5: Solve for x
    x = 139,457,433,600/169,770
  6. Step 6: Final answer
    x = 821,449.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.