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Finding the Third Proportional to 142,498.41 and 304,907.63

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Solution

The third proportional to 142,498.41 and 304,907.63 is: 652,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,498.41 : 304,907.63 = 304,907.63 : x
  2. Step 2: Convert to fraction form
    142,498.41/304,907.63 = 304,907.63/x
  3. Step 3: Cross multiply
    142,498.41x = 304,907.63 × 304,907.63
  4. Step 4: Simplify right side
    142,498.41x = 92,968,659,783.14
  5. Step 5: Solve for x
    x = 92,968,659,783.14/142,498.41
  6. Step 6: Final answer
    x = 652,418.94

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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.