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Finding the Third Proportional to 155,526 and 322,725

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Solution

The third proportional to 155,526 and 322,725 is: 669,672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,526 : 322,725 = 322,725 : x
  2. Step 2: Convert to fraction form
    155,526/322,725 = 322,725/x
  3. Step 3: Cross multiply
    155,526x = 322,725 × 322,725
  4. Step 4: Simplify right side
    155,526x = 104,151,425,625
  5. Step 5: Solve for x
    x = 104,151,425,625/155,526
  6. Step 6: Final answer
    x = 669,672.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.