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Finding the Third Proportional to 163,158 and 229,763

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Solution

The third proportional to 163,158 and 229,763 is: 323,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,158 : 229,763 = 229,763 : x
  2. Step 2: Convert to fraction form
    163,158/229,763 = 229,763/x
  3. Step 3: Cross multiply
    163,158x = 229,763 × 229,763
  4. Step 4: Simplify right side
    163,158x = 52,791,036,169
  5. Step 5: Solve for x
    x = 52,791,036,169/163,158
  6. Step 6: Final answer
    x = 323,557.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.