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Finding the Third Proportional to 163,072 and 252,032

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Solution

The third proportional to 163,072 and 252,032 is: 389,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,072 : 252,032 = 252,032 : x
  2. Step 2: Convert to fraction form
    163,072/252,032 = 252,032/x
  3. Step 3: Cross multiply
    163,072x = 252,032 × 252,032
  4. Step 4: Simplify right side
    163,072x = 63,520,129,024
  5. Step 5: Solve for x
    x = 63,520,129,024/163,072
  6. Step 6: Final answer
    x = 389,521.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.