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Finding the Third Proportional to 209,044.50 and 308,646

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Solution

The third proportional to 209,044.50 and 308,646 is: 455,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,044.50 : 308,646 = 308,646 : x
  2. Step 2: Convert to fraction form
    209,044.50/308,646 = 308,646/x
  3. Step 3: Cross multiply
    209,044.50x = 308,646 × 308,646
  4. Step 4: Simplify right side
    209,044.50x = 95,262,353,316
  5. Step 5: Solve for x
    x = 95,262,353,316/209,044.50
  6. Step 6: Final answer
    x = 455,703.71

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.