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Finding the Third Proportional to 230,396 and 357,580

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Solution

The third proportional to 230,396 and 357,580 is: 554,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,396 : 357,580 = 357,580 : x
  2. Step 2: Convert to fraction form
    230,396/357,580 = 357,580/x
  3. Step 3: Cross multiply
    230,396x = 357,580 × 357,580
  4. Step 4: Simplify right side
    230,396x = 127,863,456,400
  5. Step 5: Solve for x
    x = 127,863,456,400/230,396
  6. Step 6: Final answer
    x = 554,972.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.