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Finding the Third Proportional to 132,830.50 and 286,652

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Solution

The third proportional to 132,830.50 and 286,652 is: 618,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,830.50 : 286,652 = 286,652 : x
  2. Step 2: Convert to fraction form
    132,830.50/286,652 = 286,652/x
  3. Step 3: Cross multiply
    132,830.50x = 286,652 × 286,652
  4. Step 4: Simplify right side
    132,830.50x = 82,169,369,104
  5. Step 5: Solve for x
    x = 82,169,369,104/132,830.50
  6. Step 6: Final answer
    x = 618,603.18

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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.