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Finding the Third Proportional to 153,352.50 and 235,383

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Solution

The third proportional to 153,352.50 and 235,383 is: 361,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,352.50 : 235,383 = 235,383 : x
  2. Step 2: Convert to fraction form
    153,352.50/235,383 = 235,383/x
  3. Step 3: Cross multiply
    153,352.50x = 235,383 × 235,383
  4. Step 4: Simplify right side
    153,352.50x = 55,405,156,689
  5. Step 5: Solve for x
    x = 55,405,156,689/153,352.50
  6. Step 6: Final answer
    x = 361,292.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.