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Finding the Third Proportional to 226,572 and 306,596

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Solution

The third proportional to 226,572 and 306,596 is: 414,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572 : 306,596 = 306,596 : x
  2. Step 2: Convert to fraction form
    226,572/306,596 = 306,596/x
  3. Step 3: Cross multiply
    226,572x = 306,596 × 306,596
  4. Step 4: Simplify right side
    226,572x = 94,001,107,216
  5. Step 5: Solve for x
    x = 94,001,107,216/226,572
  6. Step 6: Final answer
    x = 414,884.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.