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Finding the Third Proportional to 176,587.88 and 264,176.44

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Solution

The third proportional to 176,587.88 and 264,176.44 is: 395,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,587.88 : 264,176.44 = 264,176.44 : x
  2. Step 2: Convert to fraction form
    176,587.88/264,176.44 = 264,176.44/x
  3. Step 3: Cross multiply
    176,587.88x = 264,176.44 × 264,176.44
  4. Step 4: Simplify right side
    176,587.88x = 69,789,190,130.19
  5. Step 5: Solve for x
    x = 69,789,190,130.19/176,587.88
  6. Step 6: Final answer
    x = 395,209.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.