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Finding the Third Proportional to 161,072 and 236,864

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Solution

The third proportional to 161,072 and 236,864 is: 348,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,072 : 236,864 = 236,864 : x
  2. Step 2: Convert to fraction form
    161,072/236,864 = 236,864/x
  3. Step 3: Cross multiply
    161,072x = 236,864 × 236,864
  4. Step 4: Simplify right side
    161,072x = 56,104,554,496
  5. Step 5: Solve for x
    x = 56,104,554,496/161,072
  6. Step 6: Final answer
    x = 348,319.72

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