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Finding the Third Proportional to 143,140.50 and 286,265.25

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Solution

The third proportional to 143,140.50 and 286,265.25 is: 572,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,140.50 : 286,265.25 = 286,265.25 : x
  2. Step 2: Convert to fraction form
    143,140.50/286,265.25 = 286,265.25/x
  3. Step 3: Cross multiply
    143,140.50x = 286,265.25 × 286,265.25
  4. Step 4: Simplify right side
    143,140.50x = 81,947,793,357.56
  5. Step 5: Solve for x
    x = 81,947,793,357.56/143,140.50
  6. Step 6: Final answer
    x = 572,499.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.