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Finding the Third Proportional to 242,032 and 369,610

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Solution

The third proportional to 242,032 and 369,610 is: 564,435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,032 : 369,610 = 369,610 : x
  2. Step 2: Convert to fraction form
    242,032/369,610 = 369,610/x
  3. Step 3: Cross multiply
    242,032x = 369,610 × 369,610
  4. Step 4: Simplify right side
    242,032x = 136,611,552,100
  5. Step 5: Solve for x
    x = 136,611,552,100/242,032
  6. Step 6: Final answer
    x = 564,435.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.