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Finding the Third Proportional to 149,650 and 325,483

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Solution

The third proportional to 149,650 and 325,483 is: 707,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,650 : 325,483 = 325,483 : x
  2. Step 2: Convert to fraction form
    149,650/325,483 = 325,483/x
  3. Step 3: Cross multiply
    149,650x = 325,483 × 325,483
  4. Step 4: Simplify right side
    149,650x = 105,939,183,289
  5. Step 5: Solve for x
    x = 105,939,183,289/149,650
  6. Step 6: Final answer
    x = 707,913.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.