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Finding the Third Proportional to 164,352 and 336,492

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Solution

The third proportional to 164,352 and 336,492 is: 688,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,352 : 336,492 = 336,492 : x
  2. Step 2: Convert to fraction form
    164,352/336,492 = 336,492/x
  3. Step 3: Cross multiply
    164,352x = 336,492 × 336,492
  4. Step 4: Simplify right side
    164,352x = 113,226,866,064
  5. Step 5: Solve for x
    x = 113,226,866,064/164,352
  6. Step 6: Final answer
    x = 688,929.04

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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.