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Finding the Third Proportional to 138,222 and 290,358

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Solution

The third proportional to 138,222 and 290,358 is: 609,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,222 : 290,358 = 290,358 : x
  2. Step 2: Convert to fraction form
    138,222/290,358 = 290,358/x
  3. Step 3: Cross multiply
    138,222x = 290,358 × 290,358
  4. Step 4: Simplify right side
    138,222x = 84,307,768,164
  5. Step 5: Solve for x
    x = 84,307,768,164/138,222
  6. Step 6: Final answer
    x = 609,944.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.