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Finding the Third Proportional to 161,052 and 236,030

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Solution

The third proportional to 161,052 and 236,030 is: 345,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,052 : 236,030 = 236,030 : x
  2. Step 2: Convert to fraction form
    161,052/236,030 = 236,030/x
  3. Step 3: Cross multiply
    161,052x = 236,030 × 236,030
  4. Step 4: Simplify right side
    161,052x = 55,710,160,900
  5. Step 5: Solve for x
    x = 55,710,160,900/161,052
  6. Step 6: Final answer
    x = 345,914.12

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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.