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Finding the Third Proportional to 89,349 and 183,454.50

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Solution

The third proportional to 89,349 and 183,454.50 is: 376,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,349 : 183,454.50 = 183,454.50 : x
  2. Step 2: Convert to fraction form
    89,349/183,454.50 = 183,454.50/x
  3. Step 3: Cross multiply
    89,349x = 183,454.50 × 183,454.50
  4. Step 4: Simplify right side
    89,349x = 33,655,553,570.25
  5. Step 5: Solve for x
    x = 33,655,553,570.25/89,349
  6. Step 6: Final answer
    x = 376,675.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.