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Finding the Third Proportional to 183,486.50 and 383,618.50

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Solution

The third proportional to 183,486.50 and 383,618.50 is: 802,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,486.50 : 383,618.50 = 383,618.50 : x
  2. Step 2: Convert to fraction form
    183,486.50/383,618.50 = 383,618.50/x
  3. Step 3: Cross multiply
    183,486.50x = 383,618.50 × 383,618.50
  4. Step 4: Simplify right side
    183,486.50x = 147,163,153,542.25
  5. Step 5: Solve for x
    x = 147,163,153,542.25/183,486.50
  6. Step 6: Final answer
    x = 802,038.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.