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Finding the Third Proportional to 183,556 and 268,688

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Solution

The third proportional to 183,556 and 268,688 is: 393,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,556 : 268,688 = 268,688 : x
  2. Step 2: Convert to fraction form
    183,556/268,688 = 268,688/x
  3. Step 3: Cross multiply
    183,556x = 268,688 × 268,688
  4. Step 4: Simplify right side
    183,556x = 72,193,241,344
  5. Step 5: Solve for x
    x = 72,193,241,344/183,556
  6. Step 6: Final answer
    x = 393,303.63

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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.