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Finding the Third Proportional to 159,579 and 242,824.50

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Solution

The third proportional to 159,579 and 242,824.50 is: 369,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,579 : 242,824.50 = 242,824.50 : x
  2. Step 2: Convert to fraction form
    159,579/242,824.50 = 242,824.50/x
  3. Step 3: Cross multiply
    159,579x = 242,824.50 × 242,824.50
  4. Step 4: Simplify right side
    159,579x = 58,963,737,800.25
  5. Step 5: Solve for x
    x = 58,963,737,800.25/159,579
  6. Step 6: Final answer
    x = 369,495.60

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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.