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Finding the Third Proportional to 132,352 and 288,504

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Solution

The third proportional to 132,352 and 288,504 is: 628,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,352 : 288,504 = 288,504 : x
  2. Step 2: Convert to fraction form
    132,352/288,504 = 288,504/x
  3. Step 3: Cross multiply
    132,352x = 288,504 × 288,504
  4. Step 4: Simplify right side
    132,352x = 83,234,558,016
  5. Step 5: Solve for x
    x = 83,234,558,016/132,352
  6. Step 6: Final answer
    x = 628,887.80

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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.