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Finding the Third Proportional to 163,136 and 241,672

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Solution

The third proportional to 163,136 and 241,672 is: 358,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,136 : 241,672 = 241,672 : x
  2. Step 2: Convert to fraction form
    163,136/241,672 = 241,672/x
  3. Step 3: Cross multiply
    163,136x = 241,672 × 241,672
  4. Step 4: Simplify right side
    163,136x = 58,405,355,584
  5. Step 5: Solve for x
    x = 58,405,355,584/163,136
  6. Step 6: Final answer
    x = 358,016.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.