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Finding the Third Proportional to 248,097.50 and 543,475

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Solution

The third proportional to 248,097.50 and 543,475 is: 1,190,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,097.50 : 543,475 = 543,475 : x
  2. Step 2: Convert to fraction form
    248,097.50/543,475 = 543,475/x
  3. Step 3: Cross multiply
    248,097.50x = 543,475 × 543,475
  4. Step 4: Simplify right side
    248,097.50x = 295,365,075,625
  5. Step 5: Solve for x
    x = 295,365,075,625/248,097.50
  6. Step 6: Final answer
    x = 1,190,520.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.