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Finding the Third Proportional to 176,008.50 and 373,833

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Solution

The third proportional to 176,008.50 and 373,833 is: 794,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,008.50 : 373,833 = 373,833 : x
  2. Step 2: Convert to fraction form
    176,008.50/373,833 = 373,833/x
  3. Step 3: Cross multiply
    176,008.50x = 373,833 × 373,833
  4. Step 4: Simplify right side
    176,008.50x = 139,751,111,889
  5. Step 5: Solve for x
    x = 139,751,111,889/176,008.50
  6. Step 6: Final answer
    x = 794,002.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.