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Finding the Third Proportional to 149,316 and 323,538

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Solution

The third proportional to 149,316 and 323,538 is: 701,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,316 : 323,538 = 323,538 : x
  2. Step 2: Convert to fraction form
    149,316/323,538 = 323,538/x
  3. Step 3: Cross multiply
    149,316x = 323,538 × 323,538
  4. Step 4: Simplify right side
    149,316x = 104,676,837,444
  5. Step 5: Solve for x
    x = 104,676,837,444/149,316
  6. Step 6: Final answer
    x = 701,042.34

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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.