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Finding the Third Proportional to 164,449.50 and 351,363

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Solution

The third proportional to 164,449.50 and 351,363 is: 750,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,449.50 : 351,363 = 351,363 : x
  2. Step 2: Convert to fraction form
    164,449.50/351,363 = 351,363/x
  3. Step 3: Cross multiply
    164,449.50x = 351,363 × 351,363
  4. Step 4: Simplify right side
    164,449.50x = 123,455,957,769
  5. Step 5: Solve for x
    x = 123,455,957,769/164,449.50
  6. Step 6: Final answer
    x = 750,722.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.