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Finding the Third Proportional to 174,823 and 375,133

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Solution

The third proportional to 174,823 and 375,133 is: 804,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,823 : 375,133 = 375,133 : x
  2. Step 2: Convert to fraction form
    174,823/375,133 = 375,133/x
  3. Step 3: Cross multiply
    174,823x = 375,133 × 375,133
  4. Step 4: Simplify right side
    174,823x = 140,724,767,689
  5. Step 5: Solve for x
    x = 140,724,767,689/174,823
  6. Step 6: Final answer
    x = 804,955.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.