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Finding the Third Proportional to 152,938 and 329,312

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Solution

The third proportional to 152,938 and 329,312 is: 709,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,938 : 329,312 = 329,312 : x
  2. Step 2: Convert to fraction form
    152,938/329,312 = 329,312/x
  3. Step 3: Cross multiply
    152,938x = 329,312 × 329,312
  4. Step 4: Simplify right side
    152,938x = 108,446,393,344
  5. Step 5: Solve for x
    x = 108,446,393,344/152,938
  6. Step 6: Final answer
    x = 709,087.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.