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Finding the Third Proportional to 161,110 and 236,730

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Solution

The third proportional to 161,110 and 236,730 is: 347,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,110 : 236,730 = 236,730 : x
  2. Step 2: Convert to fraction form
    161,110/236,730 = 236,730/x
  3. Step 3: Cross multiply
    161,110x = 236,730 × 236,730
  4. Step 4: Simplify right side
    161,110x = 56,041,092,900
  5. Step 5: Solve for x
    x = 56,041,092,900/161,110
  6. Step 6: Final answer
    x = 347,843.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.