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Finding the Third Proportional to 154,271 and 338,053

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Solution

The third proportional to 154,271 and 338,053 is: 740,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,271 : 338,053 = 338,053 : x
  2. Step 2: Convert to fraction form
    154,271/338,053 = 338,053/x
  3. Step 3: Cross multiply
    154,271x = 338,053 × 338,053
  4. Step 4: Simplify right side
    154,271x = 114,279,830,809
  5. Step 5: Solve for x
    x = 114,279,830,809/154,271
  6. Step 6: Final answer
    x = 740,773.25

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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.