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Finding the Third Proportional to 238,182 and 368,637

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Solution

The third proportional to 238,182 and 368,637 is: 570,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,182 : 368,637 = 368,637 : x
  2. Step 2: Convert to fraction form
    238,182/368,637 = 368,637/x
  3. Step 3: Cross multiply
    238,182x = 368,637 × 368,637
  4. Step 4: Simplify right side
    238,182x = 135,893,237,769
  5. Step 5: Solve for x
    x = 135,893,237,769/238,182
  6. Step 6: Final answer
    x = 570,543.69

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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.