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Finding the Third Proportional to 170,364 and 362,580

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Solution

The third proportional to 170,364 and 362,580 is: 771,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,364 : 362,580 = 362,580 : x
  2. Step 2: Convert to fraction form
    170,364/362,580 = 362,580/x
  3. Step 3: Cross multiply
    170,364x = 362,580 × 362,580
  4. Step 4: Simplify right side
    170,364x = 131,464,256,400
  5. Step 5: Solve for x
    x = 131,464,256,400/170,364
  6. Step 6: Final answer
    x = 771,666.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.