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Finding the Third Proportional to 157,081 and 224,368

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Solution

The third proportional to 157,081 and 224,368 is: 320,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,081 : 224,368 = 224,368 : x
  2. Step 2: Convert to fraction form
    157,081/224,368 = 224,368/x
  3. Step 3: Cross multiply
    157,081x = 224,368 × 224,368
  4. Step 4: Simplify right side
    157,081x = 50,340,999,424
  5. Step 5: Solve for x
    x = 50,340,999,424/157,081
  6. Step 6: Final answer
    x = 320,477.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.