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Finding the Third Proportional to 116,650 and 180,968

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Solution

The third proportional to 116,650 and 180,968 is: 280,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,650 : 180,968 = 180,968 : x
  2. Step 2: Convert to fraction form
    116,650/180,968 = 180,968/x
  3. Step 3: Cross multiply
    116,650x = 180,968 × 180,968
  4. Step 4: Simplify right side
    116,650x = 32,749,417,024
  5. Step 5: Solve for x
    x = 32,749,417,024/116,650
  6. Step 6: Final answer
    x = 280,749.40

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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.