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Finding the Third Proportional to 209,062.25 and 314,064.38

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Solution

The third proportional to 209,062.25 and 314,064.38 is: 471,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,062.25 : 314,064.38 = 314,064.38 : x
  2. Step 2: Convert to fraction form
    209,062.25/314,064.38 = 314,064.38/x
  3. Step 3: Cross multiply
    209,062.25x = 314,064.38 × 314,064.38
  4. Step 4: Simplify right side
    209,062.25x = 98,636,431,644.14
  5. Step 5: Solve for x
    x = 98,636,431,644.14/209,062.25
  6. Step 6: Final answer
    x = 471,804.12

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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.