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Finding the Third Proportional to 163,994 and 353,156

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Solution

The third proportional to 163,994 and 353,156 is: 760,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,994 : 353,156 = 353,156 : x
  2. Step 2: Convert to fraction form
    163,994/353,156 = 353,156/x
  3. Step 3: Cross multiply
    163,994x = 353,156 × 353,156
  4. Step 4: Simplify right side
    163,994x = 124,719,160,336
  5. Step 5: Solve for x
    x = 124,719,160,336/163,994
  6. Step 6: Final answer
    x = 760,510.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.