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Finding the Third Proportional to 160,391 and 224,236

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Solution

The third proportional to 160,391 and 224,236 is: 313,495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,391 : 224,236 = 224,236 : x
  2. Step 2: Convert to fraction form
    160,391/224,236 = 224,236/x
  3. Step 3: Cross multiply
    160,391x = 224,236 × 224,236
  4. Step 4: Simplify right side
    160,391x = 50,281,783,696
  5. Step 5: Solve for x
    x = 50,281,783,696/160,391
  6. Step 6: Final answer
    x = 313,495.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.