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Finding the Third Proportional to 169,432 and 368,376

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Solution

The third proportional to 169,432 and 368,376 is: 800,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,432 : 368,376 = 368,376 : x
  2. Step 2: Convert to fraction form
    169,432/368,376 = 368,376/x
  3. Step 3: Cross multiply
    169,432x = 368,376 × 368,376
  4. Step 4: Simplify right side
    169,432x = 135,700,877,376
  5. Step 5: Solve for x
    x = 135,700,877,376/169,432
  6. Step 6: Final answer
    x = 800,916.46

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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.