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Finding the Third Proportional to 162,690 and 243,168

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Solution

The third proportional to 162,690 and 243,168 is: 363,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,690 : 243,168 = 243,168 : x
  2. Step 2: Convert to fraction form
    162,690/243,168 = 243,168/x
  3. Step 3: Cross multiply
    162,690x = 243,168 × 243,168
  4. Step 4: Simplify right side
    162,690x = 59,130,676,224
  5. Step 5: Solve for x
    x = 59,130,676,224/162,690
  6. Step 6: Final answer
    x = 363,456.12

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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.