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Finding the Third Proportional to 158,503 and 235,132

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Solution

The third proportional to 158,503 and 235,132 is: 348,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,503 : 235,132 = 235,132 : x
  2. Step 2: Convert to fraction form
    158,503/235,132 = 235,132/x
  3. Step 3: Cross multiply
    158,503x = 235,132 × 235,132
  4. Step 4: Simplify right side
    158,503x = 55,287,057,424
  5. Step 5: Solve for x
    x = 55,287,057,424/158,503
  6. Step 6: Final answer
    x = 348,807.64

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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.