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Finding the Third Proportional to 155,537 and 248,075

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Solution

The third proportional to 155,537 and 248,075 is: 395,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,537 : 248,075 = 248,075 : x
  2. Step 2: Convert to fraction form
    155,537/248,075 = 248,075/x
  3. Step 3: Cross multiply
    155,537x = 248,075 × 248,075
  4. Step 4: Simplify right side
    155,537x = 61,541,205,625
  5. Step 5: Solve for x
    x = 61,541,205,625/155,537
  6. Step 6: Final answer
    x = 395,669.23

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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.