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Finding the Third Proportional to 181,584 and 385,128

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Solution

The third proportional to 181,584 and 385,128 is: 816,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,584 : 385,128 = 385,128 : x
  2. Step 2: Convert to fraction form
    181,584/385,128 = 385,128/x
  3. Step 3: Cross multiply
    181,584x = 385,128 × 385,128
  4. Step 4: Simplify right side
    181,584x = 148,323,576,384
  5. Step 5: Solve for x
    x = 148,323,576,384/181,584
  6. Step 6: Final answer
    x = 816,831.75

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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.