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Finding the Third Proportional to 213,300 and 319,623

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Solution

The third proportional to 213,300 and 319,623 is: 478,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,300 : 319,623 = 319,623 : x
  2. Step 2: Convert to fraction form
    213,300/319,623 = 319,623/x
  3. Step 3: Cross multiply
    213,300x = 319,623 × 319,623
  4. Step 4: Simplify right side
    213,300x = 102,158,862,129
  5. Step 5: Solve for x
    x = 102,158,862,129/213,300
  6. Step 6: Final answer
    x = 478,944.50

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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.