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Finding the Third Proportional to 188,528 and 410,221

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Solution

The third proportional to 188,528 and 410,221 is: 892,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,528 : 410,221 = 410,221 : x
  2. Step 2: Convert to fraction form
    188,528/410,221 = 410,221/x
  3. Step 3: Cross multiply
    188,528x = 410,221 × 410,221
  4. Step 4: Simplify right side
    188,528x = 168,281,268,841
  5. Step 5: Solve for x
    x = 168,281,268,841/188,528
  6. Step 6: Final answer
    x = 892,606.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.