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Finding the Third Proportional to 163,075 and 259,436

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Solution

The third proportional to 163,075 and 259,436 is: 412,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,075 : 259,436 = 259,436 : x
  2. Step 2: Convert to fraction form
    163,075/259,436 = 259,436/x
  3. Step 3: Cross multiply
    163,075x = 259,436 × 259,436
  4. Step 4: Simplify right side
    163,075x = 67,307,038,096
  5. Step 5: Solve for x
    x = 67,307,038,096/163,075
  6. Step 6: Final answer
    x = 412,736.70

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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.