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Finding the Third Proportional to 171,594 and 378,090

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Solution

The third proportional to 171,594 and 378,090 is: 833,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,594 : 378,090 = 378,090 : x
  2. Step 2: Convert to fraction form
    171,594/378,090 = 378,090/x
  3. Step 3: Cross multiply
    171,594x = 378,090 × 378,090
  4. Step 4: Simplify right side
    171,594x = 142,952,048,100
  5. Step 5: Solve for x
    x = 142,952,048,100/171,594
  6. Step 6: Final answer
    x = 833,083.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.