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Finding the Third Proportional to 101,948 and 223,528

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Solution

The third proportional to 101,948 and 223,528 is: 490,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,948 : 223,528 = 223,528 : x
  2. Step 2: Convert to fraction form
    101,948/223,528 = 223,528/x
  3. Step 3: Cross multiply
    101,948x = 223,528 × 223,528
  4. Step 4: Simplify right side
    101,948x = 49,964,766,784
  5. Step 5: Solve for x
    x = 49,964,766,784/101,948
  6. Step 6: Final answer
    x = 490,100.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.