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Finding the Third Proportional to 164,306 and 336,382

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Solution

The third proportional to 164,306 and 336,382 is: 688,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,306 : 336,382 = 336,382 : x
  2. Step 2: Convert to fraction form
    164,306/336,382 = 336,382/x
  3. Step 3: Cross multiply
    164,306x = 336,382 × 336,382
  4. Step 4: Simplify right side
    164,306x = 113,152,849,924
  5. Step 5: Solve for x
    x = 113,152,849,924/164,306
  6. Step 6: Final answer
    x = 688,671.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.