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Finding the Third Proportional to 132,343 and 312,365

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Solution

The third proportional to 132,343 and 312,365 is: 737,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,343 : 312,365 = 312,365 : x
  2. Step 2: Convert to fraction form
    132,343/312,365 = 312,365/x
  3. Step 3: Cross multiply
    132,343x = 312,365 × 312,365
  4. Step 4: Simplify right side
    132,343x = 97,571,893,225
  5. Step 5: Solve for x
    x = 97,571,893,225/132,343
  6. Step 6: Final answer
    x = 737,265.24

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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.