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Finding the Third Proportional to 173,364 and 275,088

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Solution

The third proportional to 173,364 and 275,088 is: 436,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,364 : 275,088 = 275,088 : x
  2. Step 2: Convert to fraction form
    173,364/275,088 = 275,088/x
  3. Step 3: Cross multiply
    173,364x = 275,088 × 275,088
  4. Step 4: Simplify right side
    173,364x = 75,673,407,744
  5. Step 5: Solve for x
    x = 75,673,407,744/173,364
  6. Step 6: Final answer
    x = 436,500.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.