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Finding the Third Proportional to 200,120.63 and 304,306.88

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Solution

The third proportional to 200,120.63 and 304,306.88 is: 462,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,120.63 : 304,306.88 = 304,306.88 : x
  2. Step 2: Convert to fraction form
    200,120.63/304,306.88 = 304,306.88/x
  3. Step 3: Cross multiply
    200,120.63x = 304,306.88 × 304,306.88
  4. Step 4: Simplify right side
    200,120.63x = 92,602,674,172.27
  5. Step 5: Solve for x
    x = 92,602,674,172.27/200,120.63
  6. Step 6: Final answer
    x = 462,734.28

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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.