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Finding the Third Proportional to 235,113 and 532,135.50

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Solution

The third proportional to 235,113 and 532,135.50 is: 1,204,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,113 : 532,135.50 = 532,135.50 : x
  2. Step 2: Convert to fraction form
    235,113/532,135.50 = 532,135.50/x
  3. Step 3: Cross multiply
    235,113x = 532,135.50 × 532,135.50
  4. Step 4: Simplify right side
    235,113x = 283,168,190,360.25
  5. Step 5: Solve for x
    x = 283,168,190,360.25/235,113
  6. Step 6: Final answer
    x = 1,204,391.89

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.