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Finding the Third Proportional to 159,464 and 338,364

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Solution

The third proportional to 159,464 and 338,364 is: 717,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,464 : 338,364 = 338,364 : x
  2. Step 2: Convert to fraction form
    159,464/338,364 = 338,364/x
  3. Step 3: Cross multiply
    159,464x = 338,364 × 338,364
  4. Step 4: Simplify right side
    159,464x = 114,490,196,496
  5. Step 5: Solve for x
    x = 114,490,196,496/159,464
  6. Step 6: Final answer
    x = 717,968.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.