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Finding the Third Proportional to 204,624 and 310,095

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Solution

The third proportional to 204,624 and 310,095 is: 469,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,624 : 310,095 = 310,095 : x
  2. Step 2: Convert to fraction form
    204,624/310,095 = 310,095/x
  3. Step 3: Cross multiply
    204,624x = 310,095 × 310,095
  4. Step 4: Simplify right side
    204,624x = 96,158,909,025
  5. Step 5: Solve for x
    x = 96,158,909,025/204,624
  6. Step 6: Final answer
    x = 469,929.77

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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.