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Finding the Third Proportional to 173,088 and 363,645

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Solution

The third proportional to 173,088 and 363,645 is: 763,991.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,088 : 363,645 = 363,645 : x
  2. Step 2: Convert to fraction form
    173,088/363,645 = 363,645/x
  3. Step 3: Cross multiply
    173,088x = 363,645 × 363,645
  4. Step 4: Simplify right side
    173,088x = 132,237,686,025
  5. Step 5: Solve for x
    x = 132,237,686,025/173,088
  6. Step 6: Final answer
    x = 763,991.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.