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Finding the Third Proportional to 156,669.25 and 238,675.75

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Solution

The third proportional to 156,669.25 and 238,675.75 is: 363,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,669.25 : 238,675.75 = 238,675.75 : x
  2. Step 2: Convert to fraction form
    156,669.25/238,675.75 = 238,675.75/x
  3. Step 3: Cross multiply
    156,669.25x = 238,675.75 × 238,675.75
  4. Step 4: Simplify right side
    156,669.25x = 56,966,113,638.06
  5. Step 5: Solve for x
    x = 56,966,113,638.06/156,669.25
  6. Step 6: Final answer
    x = 363,607.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.