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Finding the Third Proportional to 231,582 and 346,395

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Solution

The third proportional to 231,582 and 346,395 is: 518,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,582 : 346,395 = 346,395 : x
  2. Step 2: Convert to fraction form
    231,582/346,395 = 346,395/x
  3. Step 3: Cross multiply
    231,582x = 346,395 × 346,395
  4. Step 4: Simplify right side
    231,582x = 119,989,496,025
  5. Step 5: Solve for x
    x = 119,989,496,025/231,582
  6. Step 6: Final answer
    x = 518,129.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.