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Finding the Third Proportional to 159,592 and 242,708

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Solution

The third proportional to 159,592 and 242,708 is: 369,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,592 : 242,708 = 242,708 : x
  2. Step 2: Convert to fraction form
    159,592/242,708 = 242,708/x
  3. Step 3: Cross multiply
    159,592x = 242,708 × 242,708
  4. Step 4: Simplify right side
    159,592x = 58,907,173,264
  5. Step 5: Solve for x
    x = 58,907,173,264/159,592
  6. Step 6: Final answer
    x = 369,111.07

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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.