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Finding the Third Proportional to 156,946 and 236,892

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Solution

The third proportional to 156,946 and 236,892 is: 357,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946 : 236,892 = 236,892 : x
  2. Step 2: Convert to fraction form
    156,946/236,892 = 236,892/x
  3. Step 3: Cross multiply
    156,946x = 236,892 × 236,892
  4. Step 4: Simplify right side
    156,946x = 56,117,819,664
  5. Step 5: Solve for x
    x = 56,117,819,664/156,946
  6. Step 6: Final answer
    x = 357,561.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.