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Finding the Third Proportional to 195,854 and 403,300

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Solution

The third proportional to 195,854 and 403,300 is: 830,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,854 : 403,300 = 403,300 : x
  2. Step 2: Convert to fraction form
    195,854/403,300 = 403,300/x
  3. Step 3: Cross multiply
    195,854x = 403,300 × 403,300
  4. Step 4: Simplify right side
    195,854x = 162,650,890,000
  5. Step 5: Solve for x
    x = 162,650,890,000/195,854
  6. Step 6: Final answer
    x = 830,470.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.