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Finding the Third Proportional to 186,222.38 and 288,873

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Solution

The third proportional to 186,222.38 and 288,873 is: 448,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,222.38 : 288,873 = 288,873 : x
  2. Step 2: Convert to fraction form
    186,222.38/288,873 = 288,873/x
  3. Step 3: Cross multiply
    186,222.38x = 288,873 × 288,873
  4. Step 4: Simplify right side
    186,222.38x = 83,447,610,129
  5. Step 5: Solve for x
    x = 83,447,610,129/186,222.38
  6. Step 6: Final answer
    x = 448,107.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.