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Finding the Third Proportional to 268,455 and 375,516

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Solution

The third proportional to 268,455 and 375,516 is: 525,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,455 : 375,516 = 375,516 : x
  2. Step 2: Convert to fraction form
    268,455/375,516 = 375,516/x
  3. Step 3: Cross multiply
    268,455x = 375,516 × 375,516
  4. Step 4: Simplify right side
    268,455x = 141,012,266,256
  5. Step 5: Solve for x
    x = 141,012,266,256/268,455
  6. Step 6: Final answer
    x = 525,273.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.