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Finding the Third Proportional to 149,312.25 and 324,865.13

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Solution

The third proportional to 149,312.25 and 324,865.13 is: 706,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,312.25 : 324,865.13 = 324,865.13 : x
  2. Step 2: Convert to fraction form
    149,312.25/324,865.13 = 324,865.13/x
  3. Step 3: Cross multiply
    149,312.25x = 324,865.13 × 324,865.13
  4. Step 4: Simplify right side
    149,312.25x = 105,537,349,441.27
  5. Step 5: Solve for x
    x = 105,537,349,441.27/149,312.25
  6. Step 6: Final answer
    x = 706,823.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.