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Finding the Third Proportional to 156,795 and 235,549.50

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Solution

The third proportional to 156,795 and 235,549.50 is: 353,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,795 : 235,549.50 = 235,549.50 : x
  2. Step 2: Convert to fraction form
    156,795/235,549.50 = 235,549.50/x
  3. Step 3: Cross multiply
    156,795x = 235,549.50 × 235,549.50
  4. Step 4: Simplify right side
    156,795x = 55,483,566,950.25
  5. Step 5: Solve for x
    x = 55,483,566,950.25/156,795
  6. Step 6: Final answer
    x = 353,860.56

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