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Finding the Third Proportional to 117,201 and 181,363.50

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Solution

The third proportional to 117,201 and 181,363.50 is: 280,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,201 : 181,363.50 = 181,363.50 : x
  2. Step 2: Convert to fraction form
    117,201/181,363.50 = 181,363.50/x
  3. Step 3: Cross multiply
    117,201x = 181,363.50 × 181,363.50
  4. Step 4: Simplify right side
    117,201x = 32,892,719,132.25
  5. Step 5: Solve for x
    x = 32,892,719,132.25/117,201
  6. Step 6: Final answer
    x = 280,652.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.