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Finding the Third Proportional to 167,097.38 and 360,829.13

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Solution

The third proportional to 167,097.38 and 360,829.13 is: 779,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,097.38 : 360,829.13 = 360,829.13 : x
  2. Step 2: Convert to fraction form
    167,097.38/360,829.13 = 360,829.13/x
  3. Step 3: Cross multiply
    167,097.38x = 360,829.13 × 360,829.13
  4. Step 4: Simplify right side
    167,097.38x = 130,197,657,448.27
  5. Step 5: Solve for x
    x = 130,197,657,448.27/167,097.38
  6. Step 6: Final answer
    x = 779,172.37

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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.