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Finding the Third Proportional to 175,564 and 389,088

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Solution

The third proportional to 175,564 and 389,088 is: 862,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,564 : 389,088 = 389,088 : x
  2. Step 2: Convert to fraction form
    175,564/389,088 = 389,088/x
  3. Step 3: Cross multiply
    175,564x = 389,088 × 389,088
  4. Step 4: Simplify right side
    175,564x = 151,389,471,744
  5. Step 5: Solve for x
    x = 151,389,471,744/175,564
  6. Step 6: Final answer
    x = 862,303.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.