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Finding the Third Proportional to 187,362 and 285,700

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Solution

The third proportional to 187,362 and 285,700 is: 435,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,362 : 285,700 = 285,700 : x
  2. Step 2: Convert to fraction form
    187,362/285,700 = 285,700/x
  3. Step 3: Cross multiply
    187,362x = 285,700 × 285,700
  4. Step 4: Simplify right side
    187,362x = 81,624,490,000
  5. Step 5: Solve for x
    x = 81,624,490,000/187,362
  6. Step 6: Final answer
    x = 435,651.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.