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Finding the Third Proportional to 185,080 and 403,664

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Solution

The third proportional to 185,080 and 403,664 is: 880,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,080 : 403,664 = 403,664 : x
  2. Step 2: Convert to fraction form
    185,080/403,664 = 403,664/x
  3. Step 3: Cross multiply
    185,080x = 403,664 × 403,664
  4. Step 4: Simplify right side
    185,080x = 162,944,624,896
  5. Step 5: Solve for x
    x = 162,944,624,896/185,080
  6. Step 6: Final answer
    x = 880,401.04

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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.