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Finding the Third Proportional to 149,574 and 325,392

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Solution

The third proportional to 149,574 and 325,392 is: 707,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,574 : 325,392 = 325,392 : x
  2. Step 2: Convert to fraction form
    149,574/325,392 = 325,392/x
  3. Step 3: Cross multiply
    149,574x = 325,392 × 325,392
  4. Step 4: Simplify right side
    149,574x = 105,879,953,664
  5. Step 5: Solve for x
    x = 105,879,953,664/149,574
  6. Step 6: Final answer
    x = 707,876.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.