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Finding the Third Proportional to 209,745.75 and 314,641.13

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Solution

The third proportional to 209,745.75 and 314,641.13 is: 471,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,745.75 : 314,641.13 = 314,641.13 : x
  2. Step 2: Convert to fraction form
    209,745.75/314,641.13 = 314,641.13/x
  3. Step 3: Cross multiply
    209,745.75x = 314,641.13 × 314,641.13
  4. Step 4: Simplify right side
    209,745.75x = 98,999,037,541.27
  5. Step 5: Solve for x
    x = 98,999,037,541.27/209,745.75
  6. Step 6: Final answer
    x = 471,995.44

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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.