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Finding the Third Proportional to 113,391 and 246,465

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Solution

The third proportional to 113,391 and 246,465 is: 535,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,391 : 246,465 = 246,465 : x
  2. Step 2: Convert to fraction form
    113,391/246,465 = 246,465/x
  3. Step 3: Cross multiply
    113,391x = 246,465 × 246,465
  4. Step 4: Simplify right side
    113,391x = 60,744,996,225
  5. Step 5: Solve for x
    x = 60,744,996,225/113,391
  6. Step 6: Final answer
    x = 535,712.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.