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Finding the Third Proportional to 142,201.41 and 304,085.81

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Solution

The third proportional to 142,201.41 and 304,085.81 is: 650,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,201.41 : 304,085.81 = 304,085.81 : x
  2. Step 2: Convert to fraction form
    142,201.41/304,085.81 = 304,085.81/x
  3. Step 3: Cross multiply
    142,201.41x = 304,085.81 × 304,085.81
  4. Step 4: Simplify right side
    142,201.41x = 92,468,181,363.79
  5. Step 5: Solve for x
    x = 92,468,181,363.79/142,201.41
  6. Step 6: Final answer
    x = 650,262.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.