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Finding the Third Proportional to 132,346.50 and 312,378

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Solution

The third proportional to 132,346.50 and 312,378 is: 737,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,346.50 : 312,378 = 312,378 : x
  2. Step 2: Convert to fraction form
    132,346.50/312,378 = 312,378/x
  3. Step 3: Cross multiply
    132,346.50x = 312,378 × 312,378
  4. Step 4: Simplify right side
    132,346.50x = 97,580,014,884
  5. Step 5: Solve for x
    x = 97,580,014,884/132,346.50
  6. Step 6: Final answer
    x = 737,307.11

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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.