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Finding the Third Proportional to 173,421 and 374,706

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Solution

The third proportional to 173,421 and 374,706 is: 809,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,421 : 374,706 = 374,706 : x
  2. Step 2: Convert to fraction form
    173,421/374,706 = 374,706/x
  3. Step 3: Cross multiply
    173,421x = 374,706 × 374,706
  4. Step 4: Simplify right side
    173,421x = 140,404,586,436
  5. Step 5: Solve for x
    x = 140,404,586,436/173,421
  6. Step 6: Final answer
    x = 809,616.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.