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Finding the Third Proportional to 162,466 and 242,346

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Solution

The third proportional to 162,466 and 242,346 is: 361,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,466 : 242,346 = 242,346 : x
  2. Step 2: Convert to fraction form
    162,466/242,346 = 242,346/x
  3. Step 3: Cross multiply
    162,466x = 242,346 × 242,346
  4. Step 4: Simplify right side
    162,466x = 58,731,583,716
  5. Step 5: Solve for x
    x = 58,731,583,716/162,466
  6. Step 6: Final answer
    x = 361,500.77

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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.