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Finding the Third Proportional to 156,946 and 239,091

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Solution

The third proportional to 156,946 and 239,091 is: 364,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946 : 239,091 = 239,091 : x
  2. Step 2: Convert to fraction form
    156,946/239,091 = 239,091/x
  3. Step 3: Cross multiply
    156,946x = 239,091 × 239,091
  4. Step 4: Simplify right side
    156,946x = 57,164,506,281
  5. Step 5: Solve for x
    x = 57,164,506,281/156,946
  6. Step 6: Final answer
    x = 364,230.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.