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Finding the Third Proportional to 132,988.50 and 288,583

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Solution

The third proportional to 132,988.50 and 288,583 is: 626,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,988.50 : 288,583 = 288,583 : x
  2. Step 2: Convert to fraction form
    132,988.50/288,583 = 288,583/x
  3. Step 3: Cross multiply
    132,988.50x = 288,583 × 288,583
  4. Step 4: Simplify right side
    132,988.50x = 83,280,147,889
  5. Step 5: Solve for x
    x = 83,280,147,889/132,988.50
  6. Step 6: Final answer
    x = 626,220.67

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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.