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Finding the Third Proportional to 132,033 and 285,109.50

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Solution

The third proportional to 132,033 and 285,109.50 is: 615,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,033 : 285,109.50 = 285,109.50 : x
  2. Step 2: Convert to fraction form
    132,033/285,109.50 = 285,109.50/x
  3. Step 3: Cross multiply
    132,033x = 285,109.50 × 285,109.50
  4. Step 4: Simplify right side
    132,033x = 81,287,426,990.25
  5. Step 5: Solve for x
    x = 81,287,426,990.25/132,033
  6. Step 6: Final answer
    x = 615,659.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.