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Finding the Third Proportional to 238,316 and 368,669

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Solution

The third proportional to 238,316 and 368,669 is: 570,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,316 : 368,669 = 368,669 : x
  2. Step 2: Convert to fraction form
    238,316/368,669 = 368,669/x
  3. Step 3: Cross multiply
    238,316x = 368,669 × 368,669
  4. Step 4: Simplify right side
    238,316x = 135,916,831,561
  5. Step 5: Solve for x
    x = 135,916,831,561/238,316
  6. Step 6: Final answer
    x = 570,321.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.