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Finding the Third Proportional to 189,432 and 405,129.94

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Solution

The third proportional to 189,432 and 405,129.94 is: 866,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,432 : 405,129.94 = 405,129.94 : x
  2. Step 2: Convert to fraction form
    189,432/405,129.94 = 405,129.94/x
  3. Step 3: Cross multiply
    189,432x = 405,129.94 × 405,129.94
  4. Step 4: Simplify right side
    189,432x = 164,130,266,258.75
  5. Step 5: Solve for x
    x = 164,130,266,258.75/189,432
  6. Step 6: Final answer
    x = 866,433.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.