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Finding the Third Proportional to 162,590 and 342,892

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Solution

The third proportional to 162,590 and 342,892 is: 723,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,590 : 342,892 = 342,892 : x
  2. Step 2: Convert to fraction form
    162,590/342,892 = 342,892/x
  3. Step 3: Cross multiply
    162,590x = 342,892 × 342,892
  4. Step 4: Simplify right side
    162,590x = 117,574,923,664
  5. Step 5: Solve for x
    x = 117,574,923,664/162,590
  6. Step 6: Final answer
    x = 723,137.48

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