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Finding the Third Proportional to 189,526.50 and 408,573

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Solution

The third proportional to 189,526.50 and 408,573 is: 880,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,526.50 : 408,573 = 408,573 : x
  2. Step 2: Convert to fraction form
    189,526.50/408,573 = 408,573/x
  3. Step 3: Cross multiply
    189,526.50x = 408,573 × 408,573
  4. Step 4: Simplify right side
    189,526.50x = 166,931,896,329
  5. Step 5: Solve for x
    x = 166,931,896,329/189,526.50
  6. Step 6: Final answer
    x = 880,783.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.