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Finding the Third Proportional to 162,737 and 342,970

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Solution

The third proportional to 162,737 and 342,970 is: 722,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,737 : 342,970 = 342,970 : x
  2. Step 2: Convert to fraction form
    162,737/342,970 = 342,970/x
  3. Step 3: Cross multiply
    162,737x = 342,970 × 342,970
  4. Step 4: Simplify right side
    162,737x = 117,628,420,900
  5. Step 5: Solve for x
    x = 117,628,420,900/162,737
  6. Step 6: Final answer
    x = 722,813.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.