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Finding the Third Proportional to 241,440 and 355,152

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Solution

The third proportional to 241,440 and 355,152 is: 522,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,440 : 355,152 = 355,152 : x
  2. Step 2: Convert to fraction form
    241,440/355,152 = 355,152/x
  3. Step 3: Cross multiply
    241,440x = 355,152 × 355,152
  4. Step 4: Simplify right side
    241,440x = 126,132,943,104
  5. Step 5: Solve for x
    x = 126,132,943,104/241,440
  6. Step 6: Final answer
    x = 522,419.41

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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.