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Finding the Third Proportional to 154,550 and 338,656

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Solution

The third proportional to 154,550 and 338,656 is: 742,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,550 : 338,656 = 338,656 : x
  2. Step 2: Convert to fraction form
    154,550/338,656 = 338,656/x
  3. Step 3: Cross multiply
    154,550x = 338,656 × 338,656
  4. Step 4: Simplify right side
    154,550x = 114,687,886,336
  5. Step 5: Solve for x
    x = 114,687,886,336/154,550
  6. Step 6: Final answer
    x = 742,076.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.