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Finding the Third Proportional to 255,658 and 400,174.50

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Solution

The third proportional to 255,658 and 400,174.50 is: 626,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,658 : 400,174.50 = 400,174.50 : x
  2. Step 2: Convert to fraction form
    255,658/400,174.50 = 400,174.50/x
  3. Step 3: Cross multiply
    255,658x = 400,174.50 × 400,174.50
  4. Step 4: Simplify right side
    255,658x = 160,139,630,450.25
  5. Step 5: Solve for x
    x = 160,139,630,450.25/255,658
  6. Step 6: Final answer
    x = 626,382.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.