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Finding the Third Proportional to 169,960.50 and 249,993

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Solution

The third proportional to 169,960.50 and 249,993 is: 367,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,960.50 : 249,993 = 249,993 : x
  2. Step 2: Convert to fraction form
    169,960.50/249,993 = 249,993/x
  3. Step 3: Cross multiply
    169,960.50x = 249,993 × 249,993
  4. Step 4: Simplify right side
    169,960.50x = 62,496,500,049
  5. Step 5: Solve for x
    x = 62,496,500,049/169,960.50
  6. Step 6: Final answer
    x = 367,711.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.