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Finding the Third Proportional to 163,364 and 343,348

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Solution

The third proportional to 163,364 and 343,348 is: 721,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,364 : 343,348 = 343,348 : x
  2. Step 2: Convert to fraction form
    163,364/343,348 = 343,348/x
  3. Step 3: Cross multiply
    163,364x = 343,348 × 343,348
  4. Step 4: Simplify right side
    163,364x = 117,887,849,104
  5. Step 5: Solve for x
    x = 117,887,849,104/163,364
  6. Step 6: Final answer
    x = 721,626.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.