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Finding the Third Proportional to 114,827 and 163,309.50

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Solution

The third proportional to 114,827 and 163,309.50 is: 232,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,827 : 163,309.50 = 163,309.50 : x
  2. Step 2: Convert to fraction form
    114,827/163,309.50 = 163,309.50/x
  3. Step 3: Cross multiply
    114,827x = 163,309.50 × 163,309.50
  4. Step 4: Simplify right side
    114,827x = 26,669,992,790.25
  5. Step 5: Solve for x
    x = 26,669,992,790.25/114,827
  6. Step 6: Final answer
    x = 232,262.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.