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Finding the Third Proportional to 132,348 and 288,024

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Solution

The third proportional to 132,348 and 288,024 is: 626,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,348 : 288,024 = 288,024 : x
  2. Step 2: Convert to fraction form
    132,348/288,024 = 288,024/x
  3. Step 3: Cross multiply
    132,348x = 288,024 × 288,024
  4. Step 4: Simplify right side
    132,348x = 82,957,824,576
  5. Step 5: Solve for x
    x = 82,957,824,576/132,348
  6. Step 6: Final answer
    x = 626,815.85

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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.