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Finding the Third Proportional to 175,555 and 264,881.50

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Solution

The third proportional to 175,555 and 264,881.50 is: 399,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,555 : 264,881.50 = 264,881.50 : x
  2. Step 2: Convert to fraction form
    175,555/264,881.50 = 264,881.50/x
  3. Step 3: Cross multiply
    175,555x = 264,881.50 × 264,881.50
  4. Step 4: Simplify right side
    175,555x = 70,162,209,042.25
  5. Step 5: Solve for x
    x = 70,162,209,042.25/175,555
  6. Step 6: Final answer
    x = 399,659.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.