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Finding the Third Proportional to 156,846 and 249,286.50

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Solution

The third proportional to 156,846 and 249,286.50 is: 396,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,846 : 249,286.50 = 249,286.50 : x
  2. Step 2: Convert to fraction form
    156,846/249,286.50 = 249,286.50/x
  3. Step 3: Cross multiply
    156,846x = 249,286.50 × 249,286.50
  4. Step 4: Simplify right side
    156,846x = 62,143,759,082.25
  5. Step 5: Solve for x
    x = 62,143,759,082.25/156,846
  6. Step 6: Final answer
    x = 396,208.76

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.