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Finding the Third Proportional to 159,394 and 238,784

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Solution

The third proportional to 159,394 and 238,784 is: 357,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,394 : 238,784 = 238,784 : x
  2. Step 2: Convert to fraction form
    159,394/238,784 = 238,784/x
  3. Step 3: Cross multiply
    159,394x = 238,784 × 238,784
  4. Step 4: Simplify right side
    159,394x = 57,017,798,656
  5. Step 5: Solve for x
    x = 57,017,798,656/159,394
  6. Step 6: Final answer
    x = 357,716.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.