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Finding the Third Proportional to 97,358 and 150,336

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Solution

The third proportional to 97,358 and 150,336 is: 232,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,358 : 150,336 = 150,336 : x
  2. Step 2: Convert to fraction form
    97,358/150,336 = 150,336/x
  3. Step 3: Cross multiply
    97,358x = 150,336 × 150,336
  4. Step 4: Simplify right side
    97,358x = 22,600,912,896
  5. Step 5: Solve for x
    x = 22,600,912,896/97,358
  6. Step 6: Final answer
    x = 232,142.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.