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Finding the Third Proportional to 149,554 and 322,590

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Solution

The third proportional to 149,554 and 322,590 is: 695,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,554 : 322,590 = 322,590 : x
  2. Step 2: Convert to fraction form
    149,554/322,590 = 322,590/x
  3. Step 3: Cross multiply
    149,554x = 322,590 × 322,590
  4. Step 4: Simplify right side
    149,554x = 104,064,308,100
  5. Step 5: Solve for x
    x = 104,064,308,100/149,554
  6. Step 6: Final answer
    x = 695,830.99

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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.