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Finding the Third Proportional to 234,006 and 359,454

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Solution

The third proportional to 234,006 and 359,454 is: 552,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,006 : 359,454 = 359,454 : x
  2. Step 2: Convert to fraction form
    234,006/359,454 = 359,454/x
  3. Step 3: Cross multiply
    234,006x = 359,454 × 359,454
  4. Step 4: Simplify right side
    234,006x = 129,207,178,116
  5. Step 5: Solve for x
    x = 129,207,178,116/234,006
  6. Step 6: Final answer
    x = 552,153.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.