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Finding the Third Proportional to 241,656 and 355,356

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Solution

The third proportional to 241,656 and 355,356 is: 522,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,656 : 355,356 = 355,356 : x
  2. Step 2: Convert to fraction form
    241,656/355,356 = 355,356/x
  3. Step 3: Cross multiply
    241,656x = 355,356 × 355,356
  4. Step 4: Simplify right side
    241,656x = 126,277,886,736
  5. Step 5: Solve for x
    x = 126,277,886,736/241,656
  6. Step 6: Final answer
    x = 522,552.25

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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.