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Finding the Third Proportional to 191,001.38 and 258,476.06

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Solution

The third proportional to 191,001.38 and 258,476.06 is: 349,787.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,001.38 : 258,476.06 = 258,476.06 : x
  2. Step 2: Convert to fraction form
    191,001.38/258,476.06 = 258,476.06/x
  3. Step 3: Cross multiply
    191,001.38x = 258,476.06 × 258,476.06
  4. Step 4: Simplify right side
    191,001.38x = 66,809,874,885.50
  5. Step 5: Solve for x
    x = 66,809,874,885.50/191,001.38
  6. Step 6: Final answer
    x = 349,787.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.