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Finding the Third Proportional to 182,574 and 398,362

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Solution

The third proportional to 182,574 and 398,362 is: 869,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,574 : 398,362 = 398,362 : x
  2. Step 2: Convert to fraction form
    182,574/398,362 = 398,362/x
  3. Step 3: Cross multiply
    182,574x = 398,362 × 398,362
  4. Step 4: Simplify right side
    182,574x = 158,692,283,044
  5. Step 5: Solve for x
    x = 158,692,283,044/182,574
  6. Step 6: Final answer
    x = 869,194.32

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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.