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Finding the Third Proportional to 204,159 and 299,116.50

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Solution

The third proportional to 204,159 and 299,116.50 is: 438,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,159 : 299,116.50 = 299,116.50 : x
  2. Step 2: Convert to fraction form
    204,159/299,116.50 = 299,116.50/x
  3. Step 3: Cross multiply
    204,159x = 299,116.50 × 299,116.50
  4. Step 4: Simplify right side
    204,159x = 89,470,680,572.25
  5. Step 5: Solve for x
    x = 89,470,680,572.25/204,159
  6. Step 6: Final answer
    x = 438,240.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.