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Finding the Third Proportional to 238,173 and 368,623.50

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Solution

The third proportional to 238,173 and 368,623.50 is: 570,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,173 : 368,623.50 = 368,623.50 : x
  2. Step 2: Convert to fraction form
    238,173/368,623.50 = 368,623.50/x
  3. Step 3: Cross multiply
    238,173x = 368,623.50 × 368,623.50
  4. Step 4: Simplify right side
    238,173x = 135,883,284,752.25
  5. Step 5: Solve for x
    x = 135,883,284,752.25/238,173
  6. Step 6: Final answer
    x = 570,523.46

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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.