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Finding the Third Proportional to 154,252 and 338,047

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Solution

The third proportional to 154,252 and 338,047 is: 740,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,252 : 338,047 = 338,047 : x
  2. Step 2: Convert to fraction form
    154,252/338,047 = 338,047/x
  3. Step 3: Cross multiply
    154,252x = 338,047 × 338,047
  4. Step 4: Simplify right side
    154,252x = 114,275,774,209
  5. Step 5: Solve for x
    x = 114,275,774,209/154,252
  6. Step 6: Final answer
    x = 740,838.20

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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.