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Finding the Third Proportional to 177,075 and 267,094.50

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Solution

The third proportional to 177,075 and 267,094.50 is: 402,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,075 : 267,094.50 = 267,094.50 : x
  2. Step 2: Convert to fraction form
    177,075/267,094.50 = 267,094.50/x
  3. Step 3: Cross multiply
    177,075x = 267,094.50 × 267,094.50
  4. Step 4: Simplify right side
    177,075x = 71,339,471,930.25
  5. Step 5: Solve for x
    x = 71,339,471,930.25/177,075
  6. Step 6: Final answer
    x = 402,877.15

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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.