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Finding the Third Proportional to 207,588 and 295,830

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Solution

The third proportional to 207,588 and 295,830 is: 421,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,588 : 295,830 = 295,830 : x
  2. Step 2: Convert to fraction form
    207,588/295,830 = 295,830/x
  3. Step 3: Cross multiply
    207,588x = 295,830 × 295,830
  4. Step 4: Simplify right side
    207,588x = 87,515,388,900
  5. Step 5: Solve for x
    x = 87,515,388,900/207,588
  6. Step 6: Final answer
    x = 421,582.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.