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Finding the Third Proportional to 170,270 and 358,185

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Solution

The third proportional to 170,270 and 358,185 is: 753,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,270 : 358,185 = 358,185 : x
  2. Step 2: Convert to fraction form
    170,270/358,185 = 358,185/x
  3. Step 3: Cross multiply
    170,270x = 358,185 × 358,185
  4. Step 4: Simplify right side
    170,270x = 128,296,494,225
  5. Step 5: Solve for x
    x = 128,296,494,225/170,270
  6. Step 6: Final answer
    x = 753,488.54

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.