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Finding the Third Proportional to 103,424 and 214,528

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Solution

The third proportional to 103,424 and 214,528 is: 444,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,424 : 214,528 = 214,528 : x
  2. Step 2: Convert to fraction form
    103,424/214,528 = 214,528/x
  3. Step 3: Cross multiply
    103,424x = 214,528 × 214,528
  4. Step 4: Simplify right side
    103,424x = 46,022,262,784
  5. Step 5: Solve for x
    x = 46,022,262,784/103,424
  6. Step 6: Final answer
    x = 444,986.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.