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Finding the Third Proportional to 149,552 and 322,585

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Solution

The third proportional to 149,552 and 322,585 is: 695,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,552 : 322,585 = 322,585 : x
  2. Step 2: Convert to fraction form
    149,552/322,585 = 322,585/x
  3. Step 3: Cross multiply
    149,552x = 322,585 × 322,585
  4. Step 4: Simplify right side
    149,552x = 104,061,082,225
  5. Step 5: Solve for x
    x = 104,061,082,225/149,552
  6. Step 6: Final answer
    x = 695,818.73

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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.