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Finding the Third Proportional to 208,072.50 and 330,789

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Solution

The third proportional to 208,072.50 and 330,789 is: 525,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,072.50 : 330,789 = 330,789 : x
  2. Step 2: Convert to fraction form
    208,072.50/330,789 = 330,789/x
  3. Step 3: Cross multiply
    208,072.50x = 330,789 × 330,789
  4. Step 4: Simplify right side
    208,072.50x = 109,421,362,521
  5. Step 5: Solve for x
    x = 109,421,362,521/208,072.50
  6. Step 6: Final answer
    x = 525,880.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.