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Finding the Third Proportional to 150,687 and 233,581

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Solution

The third proportional to 150,687 and 233,581 is: 362,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,687 : 233,581 = 233,581 : x
  2. Step 2: Convert to fraction form
    150,687/233,581 = 233,581/x
  3. Step 3: Cross multiply
    150,687x = 233,581 × 233,581
  4. Step 4: Simplify right side
    150,687x = 54,560,083,561
  5. Step 5: Solve for x
    x = 54,560,083,561/150,687
  6. Step 6: Final answer
    x = 362,075.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.