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Finding the Third Proportional to 153,987 and 238,331.50

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Solution

The third proportional to 153,987 and 238,331.50 is: 368,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,987 : 238,331.50 = 238,331.50 : x
  2. Step 2: Convert to fraction form
    153,987/238,331.50 = 238,331.50/x
  3. Step 3: Cross multiply
    153,987x = 238,331.50 × 238,331.50
  4. Step 4: Simplify right side
    153,987x = 56,801,903,892.25
  5. Step 5: Solve for x
    x = 56,801,903,892.25/153,987
  6. Step 6: Final answer
    x = 368,874.67

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