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Finding the Third Proportional to 150,052 and 234,294

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Solution

The third proportional to 150,052 and 234,294 is: 365,831.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,052 : 234,294 = 234,294 : x
  2. Step 2: Convert to fraction form
    150,052/234,294 = 234,294/x
  3. Step 3: Cross multiply
    150,052x = 234,294 × 234,294
  4. Step 4: Simplify right side
    150,052x = 54,893,678,436
  5. Step 5: Solve for x
    x = 54,893,678,436/150,052
  6. Step 6: Final answer
    x = 365,831.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.