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Finding the Third Proportional to 181,584 and 385,088

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Solution

The third proportional to 181,584 and 385,088 is: 816,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,584 : 385,088 = 385,088 : x
  2. Step 2: Convert to fraction form
    181,584/385,088 = 385,088/x
  3. Step 3: Cross multiply
    181,584x = 385,088 × 385,088
  4. Step 4: Simplify right side
    181,584x = 148,292,767,744
  5. Step 5: Solve for x
    x = 148,292,767,744/181,584
  6. Step 6: Final answer
    x = 816,662.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.