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Finding the Third Proportional to 149,594 and 322,971

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Solution

The third proportional to 149,594 and 322,971 is: 697,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,594 : 322,971 = 322,971 : x
  2. Step 2: Convert to fraction form
    149,594/322,971 = 322,971/x
  3. Step 3: Cross multiply
    149,594x = 322,971 × 322,971
  4. Step 4: Simplify right side
    149,594x = 104,310,266,841
  5. Step 5: Solve for x
    x = 104,310,266,841/149,594
  6. Step 6: Final answer
    x = 697,289.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.