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Finding the Third Proportional to 130,176.38 and 285,321

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Solution

The third proportional to 130,176.38 and 285,321 is: 625,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,176.38 : 285,321 = 285,321 : x
  2. Step 2: Convert to fraction form
    130,176.38/285,321 = 285,321/x
  3. Step 3: Cross multiply
    130,176.38x = 285,321 × 285,321
  4. Step 4: Simplify right side
    130,176.38x = 81,408,073,041
  5. Step 5: Solve for x
    x = 81,408,073,041/130,176.38
  6. Step 6: Final answer
    x = 625,367.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.