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Finding the Third Proportional to 162,582 and 243,138

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Solution

The third proportional to 162,582 and 243,138 is: 363,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,582 : 243,138 = 243,138 : x
  2. Step 2: Convert to fraction form
    162,582/243,138 = 243,138/x
  3. Step 3: Cross multiply
    162,582x = 243,138 × 243,138
  4. Step 4: Simplify right side
    162,582x = 59,116,087,044
  5. Step 5: Solve for x
    x = 59,116,087,044/162,582
  6. Step 6: Final answer
    x = 363,607.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.