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Finding the Third Proportional to 149,688 and 327,576

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Solution

The third proportional to 149,688 and 327,576 is: 716,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,688 : 327,576 = 327,576 : x
  2. Step 2: Convert to fraction form
    149,688/327,576 = 327,576/x
  3. Step 3: Cross multiply
    149,688x = 327,576 × 327,576
  4. Step 4: Simplify right side
    149,688x = 107,306,035,776
  5. Step 5: Solve for x
    x = 107,306,035,776/149,688
  6. Step 6: Final answer
    x = 716,864.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.