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Finding the Third Proportional to 162,664.66 and 243,040.18

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Solution

The third proportional to 162,664.66 and 243,040.18 is: 363,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,664.66 : 243,040.18 = 243,040.18 : x
  2. Step 2: Convert to fraction form
    162,664.66/243,040.18 = 243,040.18/x
  3. Step 3: Cross multiply
    162,664.66x = 243,040.18 × 243,040.18
  4. Step 4: Simplify right side
    162,664.66x = 59,068,530,841.28
  5. Step 5: Solve for x
    x = 59,068,530,841.28/162,664.66
  6. Step 6: Final answer
    x = 363,130.68

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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.