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Finding the Third Proportional to 188,752 and 407,024

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Solution

The third proportional to 188,752 and 407,024 is: 877,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,752 : 407,024 = 407,024 : x
  2. Step 2: Convert to fraction form
    188,752/407,024 = 407,024/x
  3. Step 3: Cross multiply
    188,752x = 407,024 × 407,024
  4. Step 4: Simplify right side
    188,752x = 165,668,536,576
  5. Step 5: Solve for x
    x = 165,668,536,576/188,752
  6. Step 6: Final answer
    x = 877,704.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.