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Finding the Third Proportional to 229,956 and 343,522

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Solution

The third proportional to 229,956 and 343,522 is: 513,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,956 : 343,522 = 343,522 : x
  2. Step 2: Convert to fraction form
    229,956/343,522 = 343,522/x
  3. Step 3: Cross multiply
    229,956x = 343,522 × 343,522
  4. Step 4: Simplify right side
    229,956x = 118,007,364,484
  5. Step 5: Solve for x
    x = 118,007,364,484/229,956
  6. Step 6: Final answer
    x = 513,173.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.