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Finding the Third Proportional to 162,715 and 337,726

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Solution

The third proportional to 162,715 and 337,726 is: 700,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,715 : 337,726 = 337,726 : x
  2. Step 2: Convert to fraction form
    162,715/337,726 = 337,726/x
  3. Step 3: Cross multiply
    162,715x = 337,726 × 337,726
  4. Step 4: Simplify right side
    162,715x = 114,058,851,076
  5. Step 5: Solve for x
    x = 114,058,851,076/162,715
  6. Step 6: Final answer
    x = 700,973.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.