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Finding the Third Proportional to 161,005.50 and 236,583

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Solution

The third proportional to 161,005.50 and 236,583 is: 347,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,005.50 : 236,583 = 236,583 : x
  2. Step 2: Convert to fraction form
    161,005.50/236,583 = 236,583/x
  3. Step 3: Cross multiply
    161,005.50x = 236,583 × 236,583
  4. Step 4: Simplify right side
    161,005.50x = 55,971,515,889
  5. Step 5: Solve for x
    x = 55,971,515,889/161,005.50
  6. Step 6: Final answer
    x = 347,637.29

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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.