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Finding the Third Proportional to 153,226.69 and 234,214.03

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Solution

The third proportional to 153,226.69 and 234,214.03 is: 358,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,226.69 : 234,214.03 = 234,214.03 : x
  2. Step 2: Convert to fraction form
    153,226.69/234,214.03 = 234,214.03/x
  3. Step 3: Cross multiply
    153,226.69x = 234,214.03 × 234,214.03
  4. Step 4: Simplify right side
    153,226.69x = 54,856,212,434.38
  5. Step 5: Solve for x
    x = 54,856,212,434.38/153,226.69
  6. Step 6: Final answer
    x = 358,006.91

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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.