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Finding the Third Proportional to 248,125.50 and 538,254

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Solution

The third proportional to 248,125.50 and 538,254 is: 1,167,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,125.50 : 538,254 = 538,254 : x
  2. Step 2: Convert to fraction form
    248,125.50/538,254 = 538,254/x
  3. Step 3: Cross multiply
    248,125.50x = 538,254 × 538,254
  4. Step 4: Simplify right side
    248,125.50x = 289,717,368,516
  5. Step 5: Solve for x
    x = 289,717,368,516/248,125.50
  6. Step 6: Final answer
    x = 1,167,624.32

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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.