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Finding the Third Proportional to 149,547 and 327,174

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Solution

The third proportional to 149,547 and 327,174 is: 715,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,547 : 327,174 = 327,174 : x
  2. Step 2: Convert to fraction form
    149,547/327,174 = 327,174/x
  3. Step 3: Cross multiply
    149,547x = 327,174 × 327,174
  4. Step 4: Simplify right side
    149,547x = 107,042,826,276
  5. Step 5: Solve for x
    x = 107,042,826,276/149,547
  6. Step 6: Final answer
    x = 715,780.50

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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.