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Finding the Third Proportional to 162,258 and 242,037

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Solution

The third proportional to 162,258 and 242,037 is: 361,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,258 : 242,037 = 242,037 : x
  2. Step 2: Convert to fraction form
    162,258/242,037 = 242,037/x
  3. Step 3: Cross multiply
    162,258x = 242,037 × 242,037
  4. Step 4: Simplify right side
    162,258x = 58,581,909,369
  5. Step 5: Solve for x
    x = 58,581,909,369/162,258
  6. Step 6: Final answer
    x = 361,041.73

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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.