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Finding the Third Proportional to 74,466 and 162,321

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Solution

The third proportional to 74,466 and 162,321 is: 353,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,466 : 162,321 = 162,321 : x
  2. Step 2: Convert to fraction form
    74,466/162,321 = 162,321/x
  3. Step 3: Cross multiply
    74,466x = 162,321 × 162,321
  4. Step 4: Simplify right side
    74,466x = 26,348,107,041
  5. Step 5: Solve for x
    x = 26,348,107,041/74,466
  6. Step 6: Final answer
    x = 353,827.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.