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Finding the Third Proportional to 118,433 and 250,173

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Solution

The third proportional to 118,433 and 250,173 is: 528,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,433 : 250,173 = 250,173 : x
  2. Step 2: Convert to fraction form
    118,433/250,173 = 250,173/x
  3. Step 3: Cross multiply
    118,433x = 250,173 × 250,173
  4. Step 4: Simplify right side
    118,433x = 62,586,529,929
  5. Step 5: Solve for x
    x = 62,586,529,929/118,433
  6. Step 6: Final answer
    x = 528,455.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.