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Finding the Third Proportional to 152,352 and 323,136

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Solution

The third proportional to 152,352 and 323,136 is: 685,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,352 : 323,136 = 323,136 : x
  2. Step 2: Convert to fraction form
    152,352/323,136 = 323,136/x
  3. Step 3: Cross multiply
    152,352x = 323,136 × 323,136
  4. Step 4: Simplify right side
    152,352x = 104,416,874,496
  5. Step 5: Solve for x
    x = 104,416,874,496/152,352
  6. Step 6: Final answer
    x = 685,365.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.