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Finding the Third Proportional to 210,076.50 and 275,748

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Solution

The third proportional to 210,076.50 and 275,748 is: 361,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,076.50 : 275,748 = 275,748 : x
  2. Step 2: Convert to fraction form
    210,076.50/275,748 = 275,748/x
  3. Step 3: Cross multiply
    210,076.50x = 275,748 × 275,748
  4. Step 4: Simplify right side
    210,076.50x = 76,036,959,504
  5. Step 5: Solve for x
    x = 76,036,959,504/210,076.50
  6. Step 6: Final answer
    x = 361,948.91

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.