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Finding the Third Proportional to 133,084.50 and 288,321

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Solution

The third proportional to 133,084.50 and 288,321 is: 624,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084.50 : 288,321 = 288,321 : x
  2. Step 2: Convert to fraction form
    133,084.50/288,321 = 288,321/x
  3. Step 3: Cross multiply
    133,084.50x = 288,321 × 288,321
  4. Step 4: Simplify right side
    133,084.50x = 83,128,999,041
  5. Step 5: Solve for x
    x = 83,128,999,041/133,084.50
  6. Step 6: Final answer
    x = 624,633.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.