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Finding the Third Proportional to 157,586.25 and 235,822.50

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Solution

The third proportional to 157,586.25 and 235,822.50 is: 352,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,586.25 : 235,822.50 = 235,822.50 : x
  2. Step 2: Convert to fraction form
    157,586.25/235,822.50 = 235,822.50/x
  3. Step 3: Cross multiply
    157,586.25x = 235,822.50 × 235,822.50
  4. Step 4: Simplify right side
    157,586.25x = 55,612,251,506.25
  5. Step 5: Solve for x
    x = 55,612,251,506.25/157,586.25
  6. Step 6: Final answer
    x = 352,900.41

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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.