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Finding the Third Proportional to 189,594 and 285,592.50

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Solution

The third proportional to 189,594 and 285,592.50 is: 430,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,594 : 285,592.50 = 285,592.50 : x
  2. Step 2: Convert to fraction form
    189,594/285,592.50 = 285,592.50/x
  3. Step 3: Cross multiply
    189,594x = 285,592.50 × 285,592.50
  4. Step 4: Simplify right side
    189,594x = 81,563,076,056.25
  5. Step 5: Solve for x
    x = 81,563,076,056.25/189,594
  6. Step 6: Final answer
    x = 430,198.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.