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Finding the Third Proportional to 180,484.50 and 264,570.75

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Solution

The third proportional to 180,484.50 and 264,570.75 is: 387,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,484.50 : 264,570.75 = 264,570.75 : x
  2. Step 2: Convert to fraction form
    180,484.50/264,570.75 = 264,570.75/x
  3. Step 3: Cross multiply
    180,484.50x = 264,570.75 × 264,570.75
  4. Step 4: Simplify right side
    180,484.50x = 69,997,681,755.56
  5. Step 5: Solve for x
    x = 69,997,681,755.56/180,484.50
  6. Step 6: Final answer
    x = 387,832.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.