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Finding the Third Proportional to 200,143.13 and 304,339.13

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Solution

The third proportional to 200,143.13 and 304,339.13 is: 462,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,143.13 : 304,339.13 = 304,339.13 : x
  2. Step 2: Convert to fraction form
    200,143.13/304,339.13 = 304,339.13/x
  3. Step 3: Cross multiply
    200,143.13x = 304,339.13 × 304,339.13
  4. Step 4: Simplify right side
    200,143.13x = 92,622,303,005.77
  5. Step 5: Solve for x
    x = 92,622,303,005.77/200,143.13
  6. Step 6: Final answer
    x = 462,780.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.