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Finding the Third Proportional to 182,436 and 392,040

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Solution

The third proportional to 182,436 and 392,040 is: 842,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,436 : 392,040 = 392,040 : x
  2. Step 2: Convert to fraction form
    182,436/392,040 = 392,040/x
  3. Step 3: Cross multiply
    182,436x = 392,040 × 392,040
  4. Step 4: Simplify right side
    182,436x = 153,695,361,600
  5. Step 5: Solve for x
    x = 153,695,361,600/182,436
  6. Step 6: Final answer
    x = 842,461.80

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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.