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Finding the Third Proportional to 161,052 and 236,842

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Solution

The third proportional to 161,052 and 236,842 is: 348,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,052 : 236,842 = 236,842 : x
  2. Step 2: Convert to fraction form
    161,052/236,842 = 236,842/x
  3. Step 3: Cross multiply
    161,052x = 236,842 × 236,842
  4. Step 4: Simplify right side
    161,052x = 56,094,132,964
  5. Step 5: Solve for x
    x = 56,094,132,964/161,052
  6. Step 6: Final answer
    x = 348,298.27

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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.