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Finding the Third Proportional to 155,769 and 233,394

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Solution

The third proportional to 155,769 and 233,394 is: 349,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,769 : 233,394 = 233,394 : x
  2. Step 2: Convert to fraction form
    155,769/233,394 = 233,394/x
  3. Step 3: Cross multiply
    155,769x = 233,394 × 233,394
  4. Step 4: Simplify right side
    155,769x = 54,472,759,236
  5. Step 5: Solve for x
    x = 54,472,759,236/155,769
  6. Step 6: Final answer
    x = 349,702.18

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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.