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Finding the Third Proportional to 153,993 and 230,358

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Solution

The third proportional to 153,993 and 230,358 is: 344,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,993 : 230,358 = 230,358 : x
  2. Step 2: Convert to fraction form
    153,993/230,358 = 230,358/x
  3. Step 3: Cross multiply
    153,993x = 230,358 × 230,358
  4. Step 4: Simplify right side
    153,993x = 53,064,808,164
  5. Step 5: Solve for x
    x = 53,064,808,164/153,993
  6. Step 6: Final answer
    x = 344,592.34

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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.