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Finding the Third Proportional to 186,711 and 286,989

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Solution

The third proportional to 186,711 and 286,989 is: 441,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,711 : 286,989 = 286,989 : x
  2. Step 2: Convert to fraction form
    186,711/286,989 = 286,989/x
  3. Step 3: Cross multiply
    186,711x = 286,989 × 286,989
  4. Step 4: Simplify right side
    186,711x = 82,362,686,121
  5. Step 5: Solve for x
    x = 82,362,686,121/186,711
  6. Step 6: Final answer
    x = 441,123.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.