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Finding the Third Proportional to 159,596 and 242,709

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Solution

The third proportional to 159,596 and 242,709 is: 369,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,596 : 242,709 = 242,709 : x
  2. Step 2: Convert to fraction form
    159,596/242,709 = 242,709/x
  3. Step 3: Cross multiply
    159,596x = 242,709 × 242,709
  4. Step 4: Simplify right side
    159,596x = 58,907,658,681
  5. Step 5: Solve for x
    x = 58,907,658,681/159,596
  6. Step 6: Final answer
    x = 369,104.86

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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.