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Finding the Third Proportional to 161,113 and 236,735

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Solution

The third proportional to 161,113 and 236,735 is: 347,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,113 : 236,735 = 236,735 : x
  2. Step 2: Convert to fraction form
    161,113/236,735 = 236,735/x
  3. Step 3: Cross multiply
    161,113x = 236,735 × 236,735
  4. Step 4: Simplify right side
    161,113x = 56,043,460,225
  5. Step 5: Solve for x
    x = 56,043,460,225/161,113
  6. Step 6: Final answer
    x = 347,851.88

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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.