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Finding the Third Proportional to 157,075 and 370,756

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Solution

The third proportional to 157,075 and 370,756 is: 875,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,075 : 370,756 = 370,756 : x
  2. Step 2: Convert to fraction form
    157,075/370,756 = 370,756/x
  3. Step 3: Cross multiply
    157,075x = 370,756 × 370,756
  4. Step 4: Simplify right side
    157,075x = 137,460,011,536
  5. Step 5: Solve for x
    x = 137,460,011,536/157,075
  6. Step 6: Final answer
    x = 875,123.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.