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Finding the Third Proportional to 132,394 and 288,083

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Solution

The third proportional to 132,394 and 288,083 is: 626,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,394 : 288,083 = 288,083 : x
  2. Step 2: Convert to fraction form
    132,394/288,083 = 288,083/x
  3. Step 3: Cross multiply
    132,394x = 288,083 × 288,083
  4. Step 4: Simplify right side
    132,394x = 82,991,814,889
  5. Step 5: Solve for x
    x = 82,991,814,889/132,394
  6. Step 6: Final answer
    x = 626,854.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.