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Finding the Third Proportional to 181,362 and 392,484

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Solution

The third proportional to 181,362 and 392,484 is: 849,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,362 : 392,484 = 392,484 : x
  2. Step 2: Convert to fraction form
    181,362/392,484 = 392,484/x
  3. Step 3: Cross multiply
    181,362x = 392,484 × 392,484
  4. Step 4: Simplify right side
    181,362x = 154,043,690,256
  5. Step 5: Solve for x
    x = 154,043,690,256/181,362
  6. Step 6: Final answer
    x = 849,371.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.