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Finding the Third Proportional to 163,138 and 229,737

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Solution

The third proportional to 163,138 and 229,737 is: 323,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,138 : 229,737 = 229,737 : x
  2. Step 2: Convert to fraction form
    163,138/229,737 = 229,737/x
  3. Step 3: Cross multiply
    163,138x = 229,737 × 229,737
  4. Step 4: Simplify right side
    163,138x = 52,779,089,169
  5. Step 5: Solve for x
    x = 52,779,089,169/163,138
  6. Step 6: Final answer
    x = 323,524.19

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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.