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Finding the Third Proportional to 209,065 and 314,068

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Solution

The third proportional to 209,065 and 314,068 is: 471,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,065 : 314,068 = 314,068 : x
  2. Step 2: Convert to fraction form
    209,065/314,068 = 314,068/x
  3. Step 3: Cross multiply
    209,065x = 314,068 × 314,068
  4. Step 4: Simplify right side
    209,065x = 98,638,708,624
  5. Step 5: Solve for x
    x = 98,638,708,624/209,065
  6. Step 6: Final answer
    x = 471,808.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.