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Finding the Third Proportional to 252,232 and 368,648

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Solution

The third proportional to 252,232 and 368,648 is: 538,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,232 : 368,648 = 368,648 : x
  2. Step 2: Convert to fraction form
    252,232/368,648 = 368,648/x
  3. Step 3: Cross multiply
    252,232x = 368,648 × 368,648
  4. Step 4: Simplify right side
    252,232x = 135,901,347,904
  5. Step 5: Solve for x
    x = 135,901,347,904/252,232
  6. Step 6: Final answer
    x = 538,795.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.