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Finding the Third Proportional to 114,830.25 and 163,314.75

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Solution

The third proportional to 114,830.25 and 163,314.75 is: 232,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,830.25 : 163,314.75 = 163,314.75 : x
  2. Step 2: Convert to fraction form
    114,830.25/163,314.75 = 163,314.75/x
  3. Step 3: Cross multiply
    114,830.25x = 163,314.75 × 163,314.75
  4. Step 4: Simplify right side
    114,830.25x = 26,671,707,567.56
  5. Step 5: Solve for x
    x = 26,671,707,567.56/114,830.25
  6. Step 6: Final answer
    x = 232,270.74

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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.