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Finding the Third Proportional to 230,388 and 357,576

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Solution

The third proportional to 230,388 and 357,576 is: 554,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,388 : 357,576 = 357,576 : x
  2. Step 2: Convert to fraction form
    230,388/357,576 = 357,576/x
  3. Step 3: Cross multiply
    230,388x = 357,576 × 357,576
  4. Step 4: Simplify right side
    230,388x = 127,860,595,776
  5. Step 5: Solve for x
    x = 127,860,595,776/230,388
  6. Step 6: Final answer
    x = 554,979.41

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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.