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Finding the Third Proportional to 241,984 and 363,216

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Solution

The third proportional to 241,984 and 363,216 is: 545,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,984 : 363,216 = 363,216 : x
  2. Step 2: Convert to fraction form
    241,984/363,216 = 363,216/x
  3. Step 3: Cross multiply
    241,984x = 363,216 × 363,216
  4. Step 4: Simplify right side
    241,984x = 131,925,862,656
  5. Step 5: Solve for x
    x = 131,925,862,656/241,984
  6. Step 6: Final answer
    x = 545,184.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.