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Finding the Third Proportional to 171,364 and 256,037

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Solution

The third proportional to 171,364 and 256,037 is: 382,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,364 : 256,037 = 256,037 : x
  2. Step 2: Convert to fraction form
    171,364/256,037 = 256,037/x
  3. Step 3: Cross multiply
    171,364x = 256,037 × 256,037
  4. Step 4: Simplify right side
    171,364x = 65,554,945,369
  5. Step 5: Solve for x
    x = 65,554,945,369/171,364
  6. Step 6: Final answer
    x = 382,547.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.