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Finding the Third Proportional to 169,191 and 238,047

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Solution

The third proportional to 169,191 and 238,047 is: 334,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,191 : 238,047 = 238,047 : x
  2. Step 2: Convert to fraction form
    169,191/238,047 = 238,047/x
  3. Step 3: Cross multiply
    169,191x = 238,047 × 238,047
  4. Step 4: Simplify right side
    169,191x = 56,666,374,209
  5. Step 5: Solve for x
    x = 56,666,374,209/169,191
  6. Step 6: Final answer
    x = 334,925.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.