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Finding the Third Proportional to 204,473 and 310,388

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Solution

The third proportional to 204,473 and 310,388 is: 471,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,473 : 310,388 = 310,388 : x
  2. Step 2: Convert to fraction form
    204,473/310,388 = 310,388/x
  3. Step 3: Cross multiply
    204,473x = 310,388 × 310,388
  4. Step 4: Simplify right side
    204,473x = 96,340,710,544
  5. Step 5: Solve for x
    x = 96,340,710,544/204,473
  6. Step 6: Final answer
    x = 471,165.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.