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Finding the Third Proportional to 137,628 and 301,482

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Solution

The third proportional to 137,628 and 301,482 is: 660,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,628 : 301,482 = 301,482 : x
  2. Step 2: Convert to fraction form
    137,628/301,482 = 301,482/x
  3. Step 3: Cross multiply
    137,628x = 301,482 × 301,482
  4. Step 4: Simplify right side
    137,628x = 90,891,396,324
  5. Step 5: Solve for x
    x = 90,891,396,324/137,628
  6. Step 6: Final answer
    x = 660,413.55

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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.