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Finding the Third Proportional to 157,615.88 and 235,866.94

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Solution

The third proportional to 157,615.88 and 235,866.94 is: 352,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,615.88 : 235,866.94 = 235,866.94 : x
  2. Step 2: Convert to fraction form
    157,615.88/235,866.94 = 235,866.94/x
  3. Step 3: Cross multiply
    157,615.88x = 235,866.94 × 235,866.94
  4. Step 4: Simplify right side
    157,615.88x = 55,633,212,205.63
  5. Step 5: Solve for x
    x = 55,633,212,205.63/157,615.88
  6. Step 6: Final answer
    x = 352,967.06

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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.