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Finding the Third Proportional to 159,598 and 242,712

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Solution

The third proportional to 159,598 and 242,712 is: 369,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,598 : 242,712 = 242,712 : x
  2. Step 2: Convert to fraction form
    159,598/242,712 = 242,712/x
  3. Step 3: Cross multiply
    159,598x = 242,712 × 242,712
  4. Step 4: Simplify right side
    159,598x = 58,909,114,944
  5. Step 5: Solve for x
    x = 58,909,114,944/159,598
  6. Step 6: Final answer
    x = 369,109.36

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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.