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Finding the Third Proportional to 235,092 and 354,823.50

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Solution

The third proportional to 235,092 and 354,823.50 is: 535,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,092 : 354,823.50 = 354,823.50 : x
  2. Step 2: Convert to fraction form
    235,092/354,823.50 = 354,823.50/x
  3. Step 3: Cross multiply
    235,092x = 354,823.50 × 354,823.50
  4. Step 4: Simplify right side
    235,092x = 125,899,716,152.25
  5. Step 5: Solve for x
    x = 125,899,716,152.25/235,092
  6. Step 6: Final answer
    x = 535,533.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.