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Finding the Third Proportional to 156,770 and 238,437

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Solution

The third proportional to 156,770 and 238,437 is: 362,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,770 : 238,437 = 238,437 : x
  2. Step 2: Convert to fraction form
    156,770/238,437 = 238,437/x
  3. Step 3: Cross multiply
    156,770x = 238,437 × 238,437
  4. Step 4: Simplify right side
    156,770x = 56,852,202,969
  5. Step 5: Solve for x
    x = 56,852,202,969/156,770
  6. Step 6: Final answer
    x = 362,647.21

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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.