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Finding the Third Proportional to 183,468.50 and 277,050.75

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Solution

The third proportional to 183,468.50 and 277,050.75 is: 418,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,468.50 : 277,050.75 = 277,050.75 : x
  2. Step 2: Convert to fraction form
    183,468.50/277,050.75 = 277,050.75/x
  3. Step 3: Cross multiply
    183,468.50x = 277,050.75 × 277,050.75
  4. Step 4: Simplify right side
    183,468.50x = 76,757,118,075.56
  5. Step 5: Solve for x
    x = 76,757,118,075.56/183,468.50
  6. Step 6: Final answer
    x = 418,366.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.