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Finding the Third Proportional to 161,014 and 349,688

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Solution

The third proportional to 161,014 and 349,688 is: 759,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,014 : 349,688 = 349,688 : x
  2. Step 2: Convert to fraction form
    161,014/349,688 = 349,688/x
  3. Step 3: Cross multiply
    161,014x = 349,688 × 349,688
  4. Step 4: Simplify right side
    161,014x = 122,281,697,344
  5. Step 5: Solve for x
    x = 122,281,697,344/161,014
  6. Step 6: Final answer
    x = 759,447.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.