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Finding the Third Proportional to 140,916 and 248,358

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Solution

The third proportional to 140,916 and 248,358 is: 437,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,916 : 248,358 = 248,358 : x
  2. Step 2: Convert to fraction form
    140,916/248,358 = 248,358/x
  3. Step 3: Cross multiply
    140,916x = 248,358 × 248,358
  4. Step 4: Simplify right side
    140,916x = 61,681,696,164
  5. Step 5: Solve for x
    x = 61,681,696,164/140,916
  6. Step 6: Final answer
    x = 437,719.61

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.