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Finding the Third Proportional to 209,062.50 and 314,064.75

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Solution

The third proportional to 209,062.50 and 314,064.75 is: 471,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,062.50 : 314,064.75 = 314,064.75 : x
  2. Step 2: Convert to fraction form
    209,062.50/314,064.75 = 314,064.75/x
  3. Step 3: Cross multiply
    209,062.50x = 314,064.75 × 314,064.75
  4. Step 4: Simplify right side
    209,062.50x = 98,636,667,192.56
  5. Step 5: Solve for x
    x = 98,636,667,192.56/209,062.50
  6. Step 6: Final answer
    x = 471,804.69

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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.