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Finding the Third Proportional to 133,537.50 and 207,965.25

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Solution

The third proportional to 133,537.50 and 207,965.25 is: 323,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,537.50 : 207,965.25 = 207,965.25 : x
  2. Step 2: Convert to fraction form
    133,537.50/207,965.25 = 207,965.25/x
  3. Step 3: Cross multiply
    133,537.50x = 207,965.25 × 207,965.25
  4. Step 4: Simplify right side
    133,537.50x = 43,249,545,207.56
  5. Step 5: Solve for x
    x = 43,249,545,207.56/133,537.50
  6. Step 6: Final answer
    x = 323,875.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.