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Finding the Third Proportional to 163,491 and 349,158

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Solution

The third proportional to 163,491 and 349,158 is: 745,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,491 : 349,158 = 349,158 : x
  2. Step 2: Convert to fraction form
    163,491/349,158 = 349,158/x
  3. Step 3: Cross multiply
    163,491x = 349,158 × 349,158
  4. Step 4: Simplify right side
    163,491x = 121,911,308,964
  5. Step 5: Solve for x
    x = 121,911,308,964/163,491
  6. Step 6: Final answer
    x = 745,675.96

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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.