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Finding the Third Proportional to 195,432.75 and 299,467.13

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Solution

The third proportional to 195,432.75 and 299,467.13 is: 458,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,432.75 : 299,467.13 = 299,467.13 : x
  2. Step 2: Convert to fraction form
    195,432.75/299,467.13 = 299,467.13/x
  3. Step 3: Cross multiply
    195,432.75x = 299,467.13 × 299,467.13
  4. Step 4: Simplify right side
    195,432.75x = 89,680,558,955.77
  5. Step 5: Solve for x
    x = 89,680,558,955.77/195,432.75
  6. Step 6: Final answer
    x = 458,881.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.