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Finding the Third Proportional to 176,257 and 364,370

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Solution

The third proportional to 176,257 and 364,370 is: 753,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,257 : 364,370 = 364,370 : x
  2. Step 2: Convert to fraction form
    176,257/364,370 = 364,370/x
  3. Step 3: Cross multiply
    176,257x = 364,370 × 364,370
  4. Step 4: Simplify right side
    176,257x = 132,765,496,900
  5. Step 5: Solve for x
    x = 132,765,496,900/176,257
  6. Step 6: Final answer
    x = 753,249.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.