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Finding the Third Proportional to 189,621 and 437,872.50

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Solution

The third proportional to 189,621 and 437,872.50 is: 1,011,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,621 : 437,872.50 = 437,872.50 : x
  2. Step 2: Convert to fraction form
    189,621/437,872.50 = 437,872.50/x
  3. Step 3: Cross multiply
    189,621x = 437,872.50 × 437,872.50
  4. Step 4: Simplify right side
    189,621x = 191,732,326,256.25
  5. Step 5: Solve for x
    x = 191,732,326,256.25/189,621
  6. Step 6: Final answer
    x = 1,011,134.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.