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Finding the Third Proportional to 189,372.94 and 315,588.66

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Solution

The third proportional to 189,372.94 and 315,588.66 is: 525,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,372.94 : 315,588.66 = 315,588.66 : x
  2. Step 2: Convert to fraction form
    189,372.94/315,588.66 = 315,588.66/x
  3. Step 3: Cross multiply
    189,372.94x = 315,588.66 × 315,588.66
  4. Step 4: Simplify right side
    189,372.94x = 99,596,199,953.68
  5. Step 5: Solve for x
    x = 99,596,199,953.68/189,372.94
  6. Step 6: Final answer
    x = 525,926.26

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.