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Finding the Third Proportional to 160,083 and 214,214.63

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Solution

The third proportional to 160,083 and 214,214.63 is: 286,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,083 : 214,214.63 = 214,214.63 : x
  2. Step 2: Convert to fraction form
    160,083/214,214.63 = 214,214.63/x
  3. Step 3: Cross multiply
    160,083x = 214,214.63 × 214,214.63
  4. Step 4: Simplify right side
    160,083x = 45,887,905,563.89
  5. Step 5: Solve for x
    x = 45,887,905,563.89/160,083
  6. Step 6: Final answer
    x = 286,650.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.