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Finding the Third Proportional to 229,748 and 346,806

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Solution

The third proportional to 229,748 and 346,806 is: 523,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,748 : 346,806 = 346,806 : x
  2. Step 2: Convert to fraction form
    229,748/346,806 = 346,806/x
  3. Step 3: Cross multiply
    229,748x = 346,806 × 346,806
  4. Step 4: Simplify right side
    229,748x = 120,274,401,636
  5. Step 5: Solve for x
    x = 120,274,401,636/229,748
  6. Step 6: Final answer
    x = 523,505.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.