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Finding the Third Proportional to 195,368 and 414,716

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Solution

The third proportional to 195,368 and 414,716 is: 880,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,368 : 414,716 = 414,716 : x
  2. Step 2: Convert to fraction form
    195,368/414,716 = 414,716/x
  3. Step 3: Cross multiply
    195,368x = 414,716 × 414,716
  4. Step 4: Simplify right side
    195,368x = 171,989,360,656
  5. Step 5: Solve for x
    x = 171,989,360,656/195,368
  6. Step 6: Final answer
    x = 880,335.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.