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Finding the Third Proportional to 221,315 and 334,607.50

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Solution

The third proportional to 221,315 and 334,607.50 is: 505,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,315 : 334,607.50 = 334,607.50 : x
  2. Step 2: Convert to fraction form
    221,315/334,607.50 = 334,607.50/x
  3. Step 3: Cross multiply
    221,315x = 334,607.50 × 334,607.50
  4. Step 4: Simplify right side
    221,315x = 111,962,179,056.25
  5. Step 5: Solve for x
    x = 111,962,179,056.25/221,315
  6. Step 6: Final answer
    x = 505,895.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.