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Finding the Third Proportional to 169,376 and 373,306

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Solution

The third proportional to 169,376 and 373,306 is: 822,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,376 : 373,306 = 373,306 : x
  2. Step 2: Convert to fraction form
    169,376/373,306 = 373,306/x
  3. Step 3: Cross multiply
    169,376x = 373,306 × 373,306
  4. Step 4: Simplify right side
    169,376x = 139,357,369,636
  5. Step 5: Solve for x
    x = 139,357,369,636/169,376
  6. Step 6: Final answer
    x = 822,769.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.