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Finding the Third Proportional to 183,520 and 268,196

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Solution

The third proportional to 183,520 and 268,196 is: 391,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,520 : 268,196 = 268,196 : x
  2. Step 2: Convert to fraction form
    183,520/268,196 = 268,196/x
  3. Step 3: Cross multiply
    183,520x = 268,196 × 268,196
  4. Step 4: Simplify right side
    183,520x = 71,929,094,416
  5. Step 5: Solve for x
    x = 71,929,094,416/183,520
  6. Step 6: Final answer
    x = 391,941.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.