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Finding the Third Proportional to 182,689.50 and 286,986

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Solution

The third proportional to 182,689.50 and 286,986 is: 450,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,689.50 : 286,986 = 286,986 : x
  2. Step 2: Convert to fraction form
    182,689.50/286,986 = 286,986/x
  3. Step 3: Cross multiply
    182,689.50x = 286,986 × 286,986
  4. Step 4: Simplify right side
    182,689.50x = 82,360,964,196
  5. Step 5: Solve for x
    x = 82,360,964,196/182,689.50
  6. Step 6: Final answer
    x = 450,824.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.