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Finding the Third Proportional to 130,529.25 and 207,699

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Solution

The third proportional to 130,529.25 and 207,699 is: 330,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,529.25 : 207,699 = 207,699 : x
  2. Step 2: Convert to fraction form
    130,529.25/207,699 = 207,699/x
  3. Step 3: Cross multiply
    130,529.25x = 207,699 × 207,699
  4. Step 4: Simplify right side
    130,529.25x = 43,138,874,601
  5. Step 5: Solve for x
    x = 43,138,874,601/130,529.25
  6. Step 6: Final answer
    x = 330,492.01

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Why These Related Problems?

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