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Finding the Third Proportional to 115,284 and 244,248

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Solution

The third proportional to 115,284 and 244,248 is: 517,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,284 : 244,248 = 244,248 : x
  2. Step 2: Convert to fraction form
    115,284/244,248 = 244,248/x
  3. Step 3: Cross multiply
    115,284x = 244,248 × 244,248
  4. Step 4: Simplify right side
    115,284x = 59,657,085,504
  5. Step 5: Solve for x
    x = 59,657,085,504/115,284
  6. Step 6: Final answer
    x = 517,479.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.