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Finding the Third Proportional to 158,211 and 237,988.50

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Solution

The third proportional to 158,211 and 237,988.50 is: 357,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,211 : 237,988.50 = 237,988.50 : x
  2. Step 2: Convert to fraction form
    158,211/237,988.50 = 237,988.50/x
  3. Step 3: Cross multiply
    158,211x = 237,988.50 × 237,988.50
  4. Step 4: Simplify right side
    158,211x = 56,638,526,132.25
  5. Step 5: Solve for x
    x = 56,638,526,132.25/158,211
  6. Step 6: Final answer
    x = 357,993.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.