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Finding the Third Proportional to 167,534 and 361,309

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Solution

The third proportional to 167,534 and 361,309 is: 779,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,534 : 361,309 = 361,309 : x
  2. Step 2: Convert to fraction form
    167,534/361,309 = 361,309/x
  3. Step 3: Cross multiply
    167,534x = 361,309 × 361,309
  4. Step 4: Simplify right side
    167,534x = 130,544,193,481
  5. Step 5: Solve for x
    x = 130,544,193,481/167,534
  6. Step 6: Final answer
    x = 779,210.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.