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Finding the Third Proportional to 118,545 and 279,822.50

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Solution

The third proportional to 118,545 and 279,822.50 is: 660,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,545 : 279,822.50 = 279,822.50 : x
  2. Step 2: Convert to fraction form
    118,545/279,822.50 = 279,822.50/x
  3. Step 3: Cross multiply
    118,545x = 279,822.50 × 279,822.50
  4. Step 4: Simplify right side
    118,545x = 78,300,631,506.25
  5. Step 5: Solve for x
    x = 78,300,631,506.25/118,545
  6. Step 6: Final answer
    x = 660,513.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.