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Finding the Third Proportional to 188,426 and 409,572

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Solution

The third proportional to 188,426 and 409,572 is: 890,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,426 : 409,572 = 409,572 : x
  2. Step 2: Convert to fraction form
    188,426/409,572 = 409,572/x
  3. Step 3: Cross multiply
    188,426x = 409,572 × 409,572
  4. Step 4: Simplify right side
    188,426x = 167,749,223,184
  5. Step 5: Solve for x
    x = 167,749,223,184/188,426
  6. Step 6: Final answer
    x = 890,265.80

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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.