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Finding the Third Proportional to 255,162 and 375,361

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Solution

The third proportional to 255,162 and 375,361 is: 552,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,162 : 375,361 = 375,361 : x
  2. Step 2: Convert to fraction form
    255,162/375,361 = 375,361/x
  3. Step 3: Cross multiply
    255,162x = 375,361 × 375,361
  4. Step 4: Simplify right side
    255,162x = 140,895,880,321
  5. Step 5: Solve for x
    x = 140,895,880,321/255,162
  6. Step 6: Final answer
    x = 552,182.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.