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Finding the Third Proportional to 241,664 and 355,094

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Solution

The third proportional to 241,664 and 355,094 is: 521,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,664 : 355,094 = 355,094 : x
  2. Step 2: Convert to fraction form
    241,664/355,094 = 355,094/x
  3. Step 3: Cross multiply
    241,664x = 355,094 × 355,094
  4. Step 4: Simplify right side
    241,664x = 126,091,748,836
  5. Step 5: Solve for x
    x = 126,091,748,836/241,664
  6. Step 6: Final answer
    x = 521,764.72

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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.