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Finding the Third Proportional to 149,613 and 324,657.38

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Solution

The third proportional to 149,613 and 324,657.38 is: 704,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,613 : 324,657.38 = 324,657.38 : x
  2. Step 2: Convert to fraction form
    149,613/324,657.38 = 324,657.38/x
  3. Step 3: Cross multiply
    149,613x = 324,657.38 × 324,657.38
  4. Step 4: Simplify right side
    149,613x = 105,402,411,141.89
  5. Step 5: Solve for x
    x = 105,402,411,141.89/149,613
  6. Step 6: Final answer
    x = 704,500.35

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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.