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Finding the Third Proportional to 251,176 and 376,810

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Solution

The third proportional to 251,176 and 376,810 is: 565,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,176 : 376,810 = 376,810 : x
  2. Step 2: Convert to fraction form
    251,176/376,810 = 376,810/x
  3. Step 3: Cross multiply
    251,176x = 376,810 × 376,810
  4. Step 4: Simplify right side
    251,176x = 141,985,776,100
  5. Step 5: Solve for x
    x = 141,985,776,100/251,176
  6. Step 6: Final answer
    x = 565,284.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.