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Finding the Third Proportional to 132,337 and 288,465

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Solution

The third proportional to 132,337 and 288,465 is: 628,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,337 : 288,465 = 288,465 : x
  2. Step 2: Convert to fraction form
    132,337/288,465 = 288,465/x
  3. Step 3: Cross multiply
    132,337x = 288,465 × 288,465
  4. Step 4: Simplify right side
    132,337x = 83,212,056,225
  5. Step 5: Solve for x
    x = 83,212,056,225/132,337
  6. Step 6: Final answer
    x = 628,789.05

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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.