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Finding the Third Proportional to 130,525.88 and 207,694.13

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Solution

The third proportional to 130,525.88 and 207,694.13 is: 330,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,525.88 : 207,694.13 = 207,694.13 : x
  2. Step 2: Convert to fraction form
    130,525.88/207,694.13 = 207,694.13/x
  3. Step 3: Cross multiply
    130,525.88x = 207,694.13 × 207,694.13
  4. Step 4: Simplify right side
    130,525.88x = 43,136,849,559.52
  5. Step 5: Solve for x
    x = 43,136,849,559.52/130,525.88
  6. Step 6: Final answer
    x = 330,485.04

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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.