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Finding the Third Proportional to 153,982 and 230,352

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Solution

The third proportional to 153,982 and 230,352 is: 344,599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,982 : 230,352 = 230,352 : x
  2. Step 2: Convert to fraction form
    153,982/230,352 = 230,352/x
  3. Step 3: Cross multiply
    153,982x = 230,352 × 230,352
  4. Step 4: Simplify right side
    153,982x = 53,062,043,904
  5. Step 5: Solve for x
    x = 53,062,043,904/153,982
  6. Step 6: Final answer
    x = 344,599.00

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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.