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Finding the Third Proportional to 155,768 and 341,020

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Solution

The third proportional to 155,768 and 341,020 is: 746,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,768 : 341,020 = 341,020 : x
  2. Step 2: Convert to fraction form
    155,768/341,020 = 341,020/x
  3. Step 3: Cross multiply
    155,768x = 341,020 × 341,020
  4. Step 4: Simplify right side
    155,768x = 116,294,640,400
  5. Step 5: Solve for x
    x = 116,294,640,400/155,768
  6. Step 6: Final answer
    x = 746,588.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.