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Finding the Third Proportional to 155,454 and 341,364

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Solution

The third proportional to 155,454 and 341,364 is: 749,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,454 : 341,364 = 341,364 : x
  2. Step 2: Convert to fraction form
    155,454/341,364 = 341,364/x
  3. Step 3: Cross multiply
    155,454x = 341,364 × 341,364
  4. Step 4: Simplify right side
    155,454x = 116,529,380,496
  5. Step 5: Solve for x
    x = 116,529,380,496/155,454
  6. Step 6: Final answer
    x = 749,606.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.