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Finding the Third Proportional to 132,278 and 312,196

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Solution

The third proportional to 132,278 and 312,196 is: 736,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,278 : 312,196 = 312,196 : x
  2. Step 2: Convert to fraction form
    132,278/312,196 = 312,196/x
  3. Step 3: Cross multiply
    132,278x = 312,196 × 312,196
  4. Step 4: Simplify right side
    132,278x = 97,466,342,416
  5. Step 5: Solve for x
    x = 97,466,342,416/132,278
  6. Step 6: Final answer
    x = 736,829.57

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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.