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Finding the Third Proportional to 155,731 and 238,737

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Solution

The third proportional to 155,731 and 238,737 is: 365,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,731 : 238,737 = 238,737 : x
  2. Step 2: Convert to fraction form
    155,731/238,737 = 238,737/x
  3. Step 3: Cross multiply
    155,731x = 238,737 × 238,737
  4. Step 4: Simplify right side
    155,731x = 56,995,355,169
  5. Step 5: Solve for x
    x = 56,995,355,169/155,731
  6. Step 6: Final answer
    x = 365,985.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.