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Finding the Third Proportional to 115,551.75 and 242,281.50

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Solution

The third proportional to 115,551.75 and 242,281.50 is: 508,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,551.75 : 242,281.50 = 242,281.50 : x
  2. Step 2: Convert to fraction form
    115,551.75/242,281.50 = 242,281.50/x
  3. Step 3: Cross multiply
    115,551.75x = 242,281.50 × 242,281.50
  4. Step 4: Simplify right side
    115,551.75x = 58,700,325,242.25
  5. Step 5: Solve for x
    x = 58,700,325,242.25/115,551.75
  6. Step 6: Final answer
    x = 508,000.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.