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Finding the Third Proportional to 173,871 and 370,706

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Solution

The third proportional to 173,871 and 370,706 is: 790,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,871 : 370,706 = 370,706 : x
  2. Step 2: Convert to fraction form
    173,871/370,706 = 370,706/x
  3. Step 3: Cross multiply
    173,871x = 370,706 × 370,706
  4. Step 4: Simplify right side
    173,871x = 137,422,938,436
  5. Step 5: Solve for x
    x = 137,422,938,436/173,871
  6. Step 6: Final answer
    x = 790,372.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.