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Finding the Third Proportional to 156,735 and 235,101

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Solution

The third proportional to 156,735 and 235,101 is: 352,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,735 : 235,101 = 235,101 : x
  2. Step 2: Convert to fraction form
    156,735/235,101 = 235,101/x
  3. Step 3: Cross multiply
    156,735x = 235,101 × 235,101
  4. Step 4: Simplify right side
    156,735x = 55,272,480,201
  5. Step 5: Solve for x
    x = 55,272,480,201/156,735
  6. Step 6: Final answer
    x = 352,649.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.