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Finding the Third Proportional to 265,320 and 375,075

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Solution

The third proportional to 265,320 and 375,075 is: 530,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,320 : 375,075 = 375,075 : x
  2. Step 2: Convert to fraction form
    265,320/375,075 = 375,075/x
  3. Step 3: Cross multiply
    265,320x = 375,075 × 375,075
  4. Step 4: Simplify right side
    265,320x = 140,681,255,625
  5. Step 5: Solve for x
    x = 140,681,255,625/265,320
  6. Step 6: Final answer
    x = 530,232.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.