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Finding the Third Proportional to 186,582.23 and 286,812.14

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Solution

The third proportional to 186,582.23 and 286,812.14 is: 440,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,582.23 : 286,812.14 = 286,812.14 : x
  2. Step 2: Convert to fraction form
    186,582.23/286,812.14 = 286,812.14/x
  3. Step 3: Cross multiply
    186,582.23x = 286,812.14 × 286,812.14
  4. Step 4: Simplify right side
    186,582.23x = 82,261,204,009.89
  5. Step 5: Solve for x
    x = 82,261,204,009.89/186,582.23
  6. Step 6: Final answer
    x = 440,884.44

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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.