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Finding the Third Proportional to 129,919.50 and 293,445

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Solution

The third proportional to 129,919.50 and 293,445 is: 662,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,919.50 : 293,445 = 293,445 : x
  2. Step 2: Convert to fraction form
    129,919.50/293,445 = 293,445/x
  3. Step 3: Cross multiply
    129,919.50x = 293,445 × 293,445
  4. Step 4: Simplify right side
    129,919.50x = 86,109,968,025
  5. Step 5: Solve for x
    x = 86,109,968,025/129,919.50
  6. Step 6: Final answer
    x = 662,794.79

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.