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Finding the Third Proportional to 162,248 and 242,022

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Solution

The third proportional to 162,248 and 242,022 is: 361,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,248 : 242,022 = 242,022 : x
  2. Step 2: Convert to fraction form
    162,248/242,022 = 242,022/x
  3. Step 3: Cross multiply
    162,248x = 242,022 × 242,022
  4. Step 4: Simplify right side
    162,248x = 58,574,648,484
  5. Step 5: Solve for x
    x = 58,574,648,484/162,248
  6. Step 6: Final answer
    x = 361,019.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.