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Finding the Third Proportional to 167,547 and 364,581

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Solution

The third proportional to 167,547 and 364,581 is: 793,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,547 : 364,581 = 364,581 : x
  2. Step 2: Convert to fraction form
    167,547/364,581 = 364,581/x
  3. Step 3: Cross multiply
    167,547x = 364,581 × 364,581
  4. Step 4: Simplify right side
    167,547x = 132,919,305,561
  5. Step 5: Solve for x
    x = 132,919,305,561/167,547
  6. Step 6: Final answer
    x = 793,325.49

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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.