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Finding the Third Proportional to 130,393.50 and 208,215.75

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Solution

The third proportional to 130,393.50 and 208,215.75 is: 332,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,393.50 : 208,215.75 = 208,215.75 : x
  2. Step 2: Convert to fraction form
    130,393.50/208,215.75 = 208,215.75/x
  3. Step 3: Cross multiply
    130,393.50x = 208,215.75 × 208,215.75
  4. Step 4: Simplify right side
    130,393.50x = 43,353,798,548.06
  5. Step 5: Solve for x
    x = 43,353,798,548.06/130,393.50
  6. Step 6: Final answer
    x = 332,484.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.