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Finding the Third Proportional to 156,702 and 238,724

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Solution

The third proportional to 156,702 and 238,724 is: 363,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,702 : 238,724 = 238,724 : x
  2. Step 2: Convert to fraction form
    156,702/238,724 = 238,724/x
  3. Step 3: Cross multiply
    156,702x = 238,724 × 238,724
  4. Step 4: Simplify right side
    156,702x = 56,989,148,176
  5. Step 5: Solve for x
    x = 56,989,148,176/156,702
  6. Step 6: Final answer
    x = 363,678.50

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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.