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Finding the Third Proportional to 133,569 and 288,005.63

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Solution

The third proportional to 133,569 and 288,005.63 is: 621,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,569 : 288,005.63 = 288,005.63 : x
  2. Step 2: Convert to fraction form
    133,569/288,005.63 = 288,005.63/x
  3. Step 3: Cross multiply
    133,569x = 288,005.63 × 288,005.63
  4. Step 4: Simplify right side
    133,569x = 82,947,240,031.64
  5. Step 5: Solve for x
    x = 82,947,240,031.64/133,569
  6. Step 6: Final answer
    x = 621,006.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.