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Finding the Third Proportional to 235,236 and 355,044

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Solution

The third proportional to 235,236 and 355,044 is: 535,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,236 : 355,044 = 355,044 : x
  2. Step 2: Convert to fraction form
    235,236/355,044 = 355,044/x
  3. Step 3: Cross multiply
    235,236x = 355,044 × 355,044
  4. Step 4: Simplify right side
    235,236x = 126,056,241,936
  5. Step 5: Solve for x
    x = 126,056,241,936/235,236
  6. Step 6: Final answer
    x = 535,871.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.