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Finding the Third Proportional to 142,500 and 304,752

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Solution

The third proportional to 142,500 and 304,752 is: 651,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,500 : 304,752 = 304,752 : x
  2. Step 2: Convert to fraction form
    142,500/304,752 = 304,752/x
  3. Step 3: Cross multiply
    142,500x = 304,752 × 304,752
  4. Step 4: Simplify right side
    142,500x = 92,873,781,504
  5. Step 5: Solve for x
    x = 92,873,781,504/142,500
  6. Step 6: Final answer
    x = 651,745.84

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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.