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Finding the Third Proportional to 208,911 and 318,262.50

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Solution

The third proportional to 208,911 and 318,262.50 is: 484,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,911 : 318,262.50 = 318,262.50 : x
  2. Step 2: Convert to fraction form
    208,911/318,262.50 = 318,262.50/x
  3. Step 3: Cross multiply
    208,911x = 318,262.50 × 318,262.50
  4. Step 4: Simplify right side
    208,911x = 101,291,018,906.25
  5. Step 5: Solve for x
    x = 101,291,018,906.25/208,911
  6. Step 6: Final answer
    x = 484,852.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.