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Finding the Third Proportional to 153,648 and 230,476

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Solution

The third proportional to 153,648 and 230,476 is: 345,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,648 : 230,476 = 230,476 : x
  2. Step 2: Convert to fraction form
    153,648/230,476 = 230,476/x
  3. Step 3: Cross multiply
    153,648x = 230,476 × 230,476
  4. Step 4: Simplify right side
    153,648x = 53,119,186,576
  5. Step 5: Solve for x
    x = 53,119,186,576/153,648
  6. Step 6: Final answer
    x = 345,720.00

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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.