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Finding the Third Proportional to 180,336 and 392,019

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Solution

The third proportional to 180,336 and 392,019 is: 852,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,336 : 392,019 = 392,019 : x
  2. Step 2: Convert to fraction form
    180,336/392,019 = 392,019/x
  3. Step 3: Cross multiply
    180,336x = 392,019 × 392,019
  4. Step 4: Simplify right side
    180,336x = 153,678,896,361
  5. Step 5: Solve for x
    x = 153,678,896,361/180,336
  6. Step 6: Final answer
    x = 852,180.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.