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Finding the Third Proportional to 152,938 and 232,647

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Solution

The third proportional to 152,938 and 232,647 is: 353,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,938 : 232,647 = 232,647 : x
  2. Step 2: Convert to fraction form
    152,938/232,647 = 232,647/x
  3. Step 3: Cross multiply
    152,938x = 232,647 × 232,647
  4. Step 4: Simplify right side
    152,938x = 54,124,626,609
  5. Step 5: Solve for x
    x = 54,124,626,609/152,938
  6. Step 6: Final answer
    x = 353,899.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.