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Finding the Third Proportional to 241,293 and 354,915

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Solution

The third proportional to 241,293 and 354,915 is: 522,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,293 : 354,915 = 354,915 : x
  2. Step 2: Convert to fraction form
    241,293/354,915 = 354,915/x
  3. Step 3: Cross multiply
    241,293x = 354,915 × 354,915
  4. Step 4: Simplify right side
    241,293x = 125,964,657,225
  5. Step 5: Solve for x
    x = 125,964,657,225/241,293
  6. Step 6: Final answer
    x = 522,040.25

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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.