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Finding the Third Proportional to 154,828 and 358,414

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Solution

The third proportional to 154,828 and 358,414 is: 829,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,828 : 358,414 = 358,414 : x
  2. Step 2: Convert to fraction form
    154,828/358,414 = 358,414/x
  3. Step 3: Cross multiply
    154,828x = 358,414 × 358,414
  4. Step 4: Simplify right side
    154,828x = 128,460,595,396
  5. Step 5: Solve for x
    x = 128,460,595,396/154,828
  6. Step 6: Final answer
    x = 829,698.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.