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Finding the Third Proportional to 249,867 and 365,470

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Solution

The third proportional to 249,867 and 365,470 is: 534,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,867 : 365,470 = 365,470 : x
  2. Step 2: Convert to fraction form
    249,867/365,470 = 365,470/x
  3. Step 3: Cross multiply
    249,867x = 365,470 × 365,470
  4. Step 4: Simplify right side
    249,867x = 133,568,320,900
  5. Step 5: Solve for x
    x = 133,568,320,900/249,867
  6. Step 6: Final answer
    x = 534,557.67

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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.