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Finding the Third Proportional to 182,552 and 392,090

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Solution

The third proportional to 182,552 and 392,090 is: 842,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,552 : 392,090 = 392,090 : x
  2. Step 2: Convert to fraction form
    182,552/392,090 = 392,090/x
  3. Step 3: Cross multiply
    182,552x = 392,090 × 392,090
  4. Step 4: Simplify right side
    182,552x = 153,734,568,100
  5. Step 5: Solve for x
    x = 153,734,568,100/182,552
  6. Step 6: Final answer
    x = 842,141.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.