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Finding the Third Proportional to 174,009 and 264,660

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Solution

The third proportional to 174,009 and 264,660 is: 402,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,009 : 264,660 = 264,660 : x
  2. Step 2: Convert to fraction form
    174,009/264,660 = 264,660/x
  3. Step 3: Cross multiply
    174,009x = 264,660 × 264,660
  4. Step 4: Simplify right side
    174,009x = 70,044,915,600
  5. Step 5: Solve for x
    x = 70,044,915,600/174,009
  6. Step 6: Final answer
    x = 402,536.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.