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Finding the Third Proportional to 163,315 and 349,958

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Solution

The third proportional to 163,315 and 349,958 is: 749,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,315 : 349,958 = 349,958 : x
  2. Step 2: Convert to fraction form
    163,315/349,958 = 349,958/x
  3. Step 3: Cross multiply
    163,315x = 349,958 × 349,958
  4. Step 4: Simplify right side
    163,315x = 122,470,601,764
  5. Step 5: Solve for x
    x = 122,470,601,764/163,315
  6. Step 6: Final answer
    x = 749,904.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.