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Finding the Third Proportional to 162,391 and 242,764

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Solution

The third proportional to 162,391 and 242,764 is: 362,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,391 : 242,764 = 242,764 : x
  2. Step 2: Convert to fraction form
    162,391/242,764 = 242,764/x
  3. Step 3: Cross multiply
    162,391x = 242,764 × 242,764
  4. Step 4: Simplify right side
    162,391x = 58,934,359,696
  5. Step 5: Solve for x
    x = 58,934,359,696/162,391
  6. Step 6: Final answer
    x = 362,916.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.