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Finding the Third Proportional to 158,579 and 237,817.50

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Solution

The third proportional to 158,579 and 237,817.50 is: 356,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,579 : 237,817.50 = 237,817.50 : x
  2. Step 2: Convert to fraction form
    158,579/237,817.50 = 237,817.50/x
  3. Step 3: Cross multiply
    158,579x = 237,817.50 × 237,817.50
  4. Step 4: Simplify right side
    158,579x = 56,557,163,306.25
  5. Step 5: Solve for x
    x = 56,557,163,306.25/158,579
  6. Step 6: Final answer
    x = 356,649.77

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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.