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Finding the Third Proportional to 186,994 and 408,260

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Solution

The third proportional to 186,994 and 408,260 is: 891,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,994 : 408,260 = 408,260 : x
  2. Step 2: Convert to fraction form
    186,994/408,260 = 408,260/x
  3. Step 3: Cross multiply
    186,994x = 408,260 × 408,260
  4. Step 4: Simplify right side
    186,994x = 166,676,227,600
  5. Step 5: Solve for x
    x = 166,676,227,600/186,994
  6. Step 6: Final answer
    x = 891,345.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.