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Finding the Third Proportional to 132,413 and 312,323

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Solution

The third proportional to 132,413 and 312,323 is: 736,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413 : 312,323 = 312,323 : x
  2. Step 2: Convert to fraction form
    132,413/312,323 = 312,323/x
  3. Step 3: Cross multiply
    132,413x = 312,323 × 312,323
  4. Step 4: Simplify right side
    132,413x = 97,545,656,329
  5. Step 5: Solve for x
    x = 97,545,656,329/132,413
  6. Step 6: Final answer
    x = 736,677.34

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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.