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Finding the Third Proportional to 248,061.50 and 538,132

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Solution

The third proportional to 248,061.50 and 538,132 is: 1,167,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,061.50 : 538,132 = 538,132 : x
  2. Step 2: Convert to fraction form
    248,061.50/538,132 = 538,132/x
  3. Step 3: Cross multiply
    248,061.50x = 538,132 × 538,132
  4. Step 4: Simplify right side
    248,061.50x = 289,586,049,424
  5. Step 5: Solve for x
    x = 289,586,049,424/248,061.50
  6. Step 6: Final answer
    x = 1,167,396.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.