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Finding the Third Proportional to 153,840 and 225,300

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Solution

The third proportional to 153,840 and 225,300 is: 329,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,840 : 225,300 = 225,300 : x
  2. Step 2: Convert to fraction form
    153,840/225,300 = 225,300/x
  3. Step 3: Cross multiply
    153,840x = 225,300 × 225,300
  4. Step 4: Simplify right side
    153,840x = 50,760,090,000
  5. Step 5: Solve for x
    x = 50,760,090,000/153,840
  6. Step 6: Final answer
    x = 329,953.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.