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Finding the Third Proportional to 234,850 and 314,623

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Solution

The third proportional to 234,850 and 314,623 is: 421,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,850 : 314,623 = 314,623 : x
  2. Step 2: Convert to fraction form
    234,850/314,623 = 314,623/x
  3. Step 3: Cross multiply
    234,850x = 314,623 × 314,623
  4. Step 4: Simplify right side
    234,850x = 98,987,632,129
  5. Step 5: Solve for x
    x = 98,987,632,129/234,850
  6. Step 6: Final answer
    x = 421,493.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.