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Finding the Third Proportional to 118,418 and 250,148

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Solution

The third proportional to 118,418 and 250,148 is: 528,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,418 : 250,148 = 250,148 : x
  2. Step 2: Convert to fraction form
    118,418/250,148 = 250,148/x
  3. Step 3: Cross multiply
    118,418x = 250,148 × 250,148
  4. Step 4: Simplify right side
    118,418x = 62,574,021,904
  5. Step 5: Solve for x
    x = 62,574,021,904/118,418
  6. Step 6: Final answer
    x = 528,416.47

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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.