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Finding the Third Proportional to 114,485 and 168,417

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Solution

The third proportional to 114,485 and 168,417 is: 247,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,485 : 168,417 = 168,417 : x
  2. Step 2: Convert to fraction form
    114,485/168,417 = 168,417/x
  3. Step 3: Cross multiply
    114,485x = 168,417 × 168,417
  4. Step 4: Simplify right side
    114,485x = 28,364,285,889
  5. Step 5: Solve for x
    x = 28,364,285,889/114,485
  6. Step 6: Final answer
    x = 247,755.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.