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Finding the Third Proportional to 159,324 and 242,928

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Solution

The third proportional to 159,324 and 242,928 is: 370,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,324 : 242,928 = 242,928 : x
  2. Step 2: Convert to fraction form
    159,324/242,928 = 242,928/x
  3. Step 3: Cross multiply
    159,324x = 242,928 × 242,928
  4. Step 4: Simplify right side
    159,324x = 59,014,013,184
  5. Step 5: Solve for x
    x = 59,014,013,184/159,324
  6. Step 6: Final answer
    x = 370,402.53

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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.