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Finding the Third Proportional to 155,427 and 332,904

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Solution

The third proportional to 155,427 and 332,904 is: 713,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,427 : 332,904 = 332,904 : x
  2. Step 2: Convert to fraction form
    155,427/332,904 = 332,904/x
  3. Step 3: Cross multiply
    155,427x = 332,904 × 332,904
  4. Step 4: Simplify right side
    155,427x = 110,825,073,216
  5. Step 5: Solve for x
    x = 110,825,073,216/155,427
  6. Step 6: Final answer
    x = 713,036.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.