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Finding the Third Proportional to 155,524 and 326,715

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Solution

The third proportional to 155,524 and 326,715 is: 686,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,524 : 326,715 = 326,715 : x
  2. Step 2: Convert to fraction form
    155,524/326,715 = 326,715/x
  3. Step 3: Cross multiply
    155,524x = 326,715 × 326,715
  4. Step 4: Simplify right side
    155,524x = 106,742,691,225
  5. Step 5: Solve for x
    x = 106,742,691,225/155,524
  6. Step 6: Final answer
    x = 686,342.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.