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Finding the Third Proportional to 235,200 and 358,330.50

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Solution

The third proportional to 235,200 and 358,330.50 is: 545,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,200 : 358,330.50 = 358,330.50 : x
  2. Step 2: Convert to fraction form
    235,200/358,330.50 = 358,330.50/x
  3. Step 3: Cross multiply
    235,200x = 358,330.50 × 358,330.50
  4. Step 4: Simplify right side
    235,200x = 128,400,747,230.25
  5. Step 5: Solve for x
    x = 128,400,747,230.25/235,200
  6. Step 6: Final answer
    x = 545,921.54

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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.