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Finding the Third Proportional to 170,820 and 243,339

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Solution

The third proportional to 170,820 and 243,339 is: 346,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,820 : 243,339 = 243,339 : x
  2. Step 2: Convert to fraction form
    170,820/243,339 = 243,339/x
  3. Step 3: Cross multiply
    170,820x = 243,339 × 243,339
  4. Step 4: Simplify right side
    170,820x = 59,213,868,921
  5. Step 5: Solve for x
    x = 59,213,868,921/170,820
  6. Step 6: Final answer
    x = 346,644.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.