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Finding the Third Proportional to 235,039.50 and 358,069

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Solution

The third proportional to 235,039.50 and 358,069 is: 545,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,039.50 : 358,069 = 358,069 : x
  2. Step 2: Convert to fraction form
    235,039.50/358,069 = 358,069/x
  3. Step 3: Cross multiply
    235,039.50x = 358,069 × 358,069
  4. Step 4: Simplify right side
    235,039.50x = 128,213,408,761
  5. Step 5: Solve for x
    x = 128,213,408,761/235,039.50
  6. Step 6: Final answer
    x = 545,497.28

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