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Finding the Third Proportional to 209,664 and 332,136

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Solution

The third proportional to 209,664 and 332,136 is: 526,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,664 : 332,136 = 332,136 : x
  2. Step 2: Convert to fraction form
    209,664/332,136 = 332,136/x
  3. Step 3: Cross multiply
    209,664x = 332,136 × 332,136
  4. Step 4: Simplify right side
    209,664x = 110,314,322,496
  5. Step 5: Solve for x
    x = 110,314,322,496/209,664
  6. Step 6: Final answer
    x = 526,148.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.