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Finding the Third Proportional to 171,635.63 and 373,784.06

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Solution

The third proportional to 171,635.63 and 373,784.06 is: 814,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,635.63 : 373,784.06 = 373,784.06 : x
  2. Step 2: Convert to fraction form
    171,635.63/373,784.06 = 373,784.06/x
  3. Step 3: Cross multiply
    171,635.63x = 373,784.06 × 373,784.06
  4. Step 4: Simplify right side
    171,635.63x = 139,714,525,379.00
  5. Step 5: Solve for x
    x = 139,714,525,379.00/171,635.63
  6. Step 6: Final answer
    x = 814,018.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.