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Finding the Third Proportional to 180,053 and 392,504

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Solution

The third proportional to 180,053 and 392,504 is: 855,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,053 : 392,504 = 392,504 : x
  2. Step 2: Convert to fraction form
    180,053/392,504 = 392,504/x
  3. Step 3: Cross multiply
    180,053x = 392,504 × 392,504
  4. Step 4: Simplify right side
    180,053x = 154,059,390,016
  5. Step 5: Solve for x
    x = 154,059,390,016/180,053
  6. Step 6: Final answer
    x = 855,633.56

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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.