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Finding the Third Proportional to 130,884 and 207,584.25

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Solution

The third proportional to 130,884 and 207,584.25 is: 329,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,884 : 207,584.25 = 207,584.25 : x
  2. Step 2: Convert to fraction form
    130,884/207,584.25 = 207,584.25/x
  3. Step 3: Cross multiply
    130,884x = 207,584.25 × 207,584.25
  4. Step 4: Simplify right side
    130,884x = 43,091,220,848.06
  5. Step 5: Solve for x
    x = 43,091,220,848.06/130,884
  6. Step 6: Final answer
    x = 329,232.15

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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.