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Finding the Third Proportional to 195,875 and 439,686

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Solution

The third proportional to 195,875 and 439,686 is: 986,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,875 : 439,686 = 439,686 : x
  2. Step 2: Convert to fraction form
    195,875/439,686 = 439,686/x
  3. Step 3: Cross multiply
    195,875x = 439,686 × 439,686
  4. Step 4: Simplify right side
    195,875x = 193,323,778,596
  5. Step 5: Solve for x
    x = 193,323,778,596/195,875
  6. Step 6: Final answer
    x = 986,975.26

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.