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Finding the Third Proportional to 158,505 and 235,138.50

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Solution

The third proportional to 158,505 and 235,138.50 is: 348,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,505 : 235,138.50 = 235,138.50 : x
  2. Step 2: Convert to fraction form
    158,505/235,138.50 = 235,138.50/x
  3. Step 3: Cross multiply
    158,505x = 235,138.50 × 235,138.50
  4. Step 4: Simplify right side
    158,505x = 55,290,114,182.25
  5. Step 5: Solve for x
    x = 55,290,114,182.25/158,505
  6. Step 6: Final answer
    x = 348,822.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.