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Finding the Third Proportional to 171,754 and 367,095

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Solution

The third proportional to 171,754 and 367,095 is: 784,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,754 : 367,095 = 367,095 : x
  2. Step 2: Convert to fraction form
    171,754/367,095 = 367,095/x
  3. Step 3: Cross multiply
    171,754x = 367,095 × 367,095
  4. Step 4: Simplify right side
    171,754x = 134,758,739,025
  5. Step 5: Solve for x
    x = 134,758,739,025/171,754
  6. Step 6: Final answer
    x = 784,603.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.