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Finding the Third Proportional to 189,445.75 and 410,423.50

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Solution

The third proportional to 189,445.75 and 410,423.50 is: 889,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,445.75 : 410,423.50 = 410,423.50 : x
  2. Step 2: Convert to fraction form
    189,445.75/410,423.50 = 410,423.50/x
  3. Step 3: Cross multiply
    189,445.75x = 410,423.50 × 410,423.50
  4. Step 4: Simplify right side
    189,445.75x = 168,447,449,352.25
  5. Step 5: Solve for x
    x = 168,447,449,352.25/189,445.75
  6. Step 6: Final answer
    x = 889,159.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.