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Finding the Third Proportional to 152,006 and 329,971

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Solution

The third proportional to 152,006 and 329,971 is: 716,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,006 : 329,971 = 329,971 : x
  2. Step 2: Convert to fraction form
    152,006/329,971 = 329,971/x
  3. Step 3: Cross multiply
    152,006x = 329,971 × 329,971
  4. Step 4: Simplify right side
    152,006x = 108,880,860,841
  5. Step 5: Solve for x
    x = 108,880,860,841/152,006
  6. Step 6: Final answer
    x = 716,293.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.