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Finding the Third Proportional to 248,821 and 375,294

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Solution

The third proportional to 248,821 and 375,294 is: 566,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,821 : 375,294 = 375,294 : x
  2. Step 2: Convert to fraction form
    248,821/375,294 = 375,294/x
  3. Step 3: Cross multiply
    248,821x = 375,294 × 375,294
  4. Step 4: Simplify right side
    248,821x = 140,845,586,436
  5. Step 5: Solve for x
    x = 140,845,586,436/248,821
  6. Step 6: Final answer
    x = 566,051.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.