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Finding the Third Proportional to 114,825.75 and 163,308

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Solution

The third proportional to 114,825.75 and 163,308 is: 232,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,825.75 : 163,308 = 163,308 : x
  2. Step 2: Convert to fraction form
    114,825.75/163,308 = 163,308/x
  3. Step 3: Cross multiply
    114,825.75x = 163,308 × 163,308
  4. Step 4: Simplify right side
    114,825.75x = 26,669,502,864
  5. Step 5: Solve for x
    x = 26,669,502,864/114,825.75
  6. Step 6: Final answer
    x = 232,260.65

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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.