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Finding the Third Proportional to 169,946 and 373,444

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Solution

The third proportional to 169,946 and 373,444 is: 820,616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,946 : 373,444 = 373,444 : x
  2. Step 2: Convert to fraction form
    169,946/373,444 = 373,444/x
  3. Step 3: Cross multiply
    169,946x = 373,444 × 373,444
  4. Step 4: Simplify right side
    169,946x = 139,460,421,136
  5. Step 5: Solve for x
    x = 139,460,421,136/169,946
  6. Step 6: Final answer
    x = 820,616.08

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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.