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Finding the Third Proportional to 213,672 and 309,484

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Solution

The third proportional to 213,672 and 309,484 is: 448,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,672 : 309,484 = 309,484 : x
  2. Step 2: Convert to fraction form
    213,672/309,484 = 309,484/x
  3. Step 3: Cross multiply
    213,672x = 309,484 × 309,484
  4. Step 4: Simplify right side
    213,672x = 95,780,346,256
  5. Step 5: Solve for x
    x = 95,780,346,256/213,672
  6. Step 6: Final answer
    x = 448,258.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.