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Finding the Third Proportional to 132,284 and 312,211

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Solution

The third proportional to 132,284 and 312,211 is: 736,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,284 : 312,211 = 312,211 : x
  2. Step 2: Convert to fraction form
    132,284/312,211 = 312,211/x
  3. Step 3: Cross multiply
    132,284x = 312,211 × 312,211
  4. Step 4: Simplify right side
    132,284x = 97,475,708,521
  5. Step 5: Solve for x
    x = 97,475,708,521/132,284
  6. Step 6: Final answer
    x = 736,866.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.