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Finding the Third Proportional to 185,572 and 404,600

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Solution

The third proportional to 185,572 and 404,600 is: 882,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,572 : 404,600 = 404,600 : x
  2. Step 2: Convert to fraction form
    185,572/404,600 = 404,600/x
  3. Step 3: Cross multiply
    185,572x = 404,600 × 404,600
  4. Step 4: Simplify right side
    185,572x = 163,701,160,000
  5. Step 5: Solve for x
    x = 163,701,160,000/185,572
  6. Step 6: Final answer
    x = 882,143.64

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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.