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Finding the Third Proportional to 163,692 and 242,928

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Solution

The third proportional to 163,692 and 242,928 is: 360,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,692 : 242,928 = 242,928 : x
  2. Step 2: Convert to fraction form
    163,692/242,928 = 242,928/x
  3. Step 3: Cross multiply
    163,692x = 242,928 × 242,928
  4. Step 4: Simplify right side
    163,692x = 59,014,013,184
  5. Step 5: Solve for x
    x = 59,014,013,184/163,692
  6. Step 6: Final answer
    x = 360,518.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.