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Finding the Third Proportional to 128,172.38 and 280,508.06

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Solution

The third proportional to 128,172.38 and 280,508.06 is: 613,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,172.38 : 280,508.06 = 280,508.06 : x
  2. Step 2: Convert to fraction form
    128,172.38/280,508.06 = 280,508.06/x
  3. Step 3: Cross multiply
    128,172.38x = 280,508.06 × 280,508.06
  4. Step 4: Simplify right side
    128,172.38x = 78,684,773,127.50
  5. Step 5: Solve for x
    x = 78,684,773,127.50/128,172.38
  6. Step 6: Final answer
    x = 613,898.07

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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.